Maru Secondary School consumes 40 bags of maize and 25 bags of beans per term. Kadu Secondary School consumes 35 bags of maize and 18...

Maru Secondary School consumes 40 bags of maize and 25 bags of beans per term. Kadu Secondary School consumes 35 bags of maize and 18 bags of beans per term. The schools purchase the grains from the same grain store. Maru pays sh.380,000 while Kadu pays sh.301,500 for the grains.
a) Write down two equations representing the cost of grains in the two schools.
b) Using matrix method , calculate the cost of each bag of maize and beans.
c) The following term the price of each bag of maize increased by 20% while that of beans decreased by 15%.
i) How much did Maru pay for the grains?
ii) If the school enrollment increased by 10% and the food ration also increased proportionally, how much would the school spend on the grains?

---

---

sharon kalunda answered the question on August 16, 2019 at 06:30

Exams With Marking Schemes

• Grade 1
• Grade 2
• Grade 3
• Grade 4
• Grade 5
• Grade 6
• Grade 7
• Grade 8
• Grade 9
• PP1
• PP2
• Playgroup
• Form 1
• Form 2
• Form 3
• Form 4

Related Questions

---

• Karis owns a farm that is triangular in shape as shown below. a) Calculate the size of angle BAC. b) Find the area of the farm in... (Solved)
  

  Karis owns a farm that is triangular in shape as shown below.
  
  a) Calculate the size of angle BAC.
  b) Find the area of the farm in hectares.
  c) Karis wishes to irrigate his farm using a sprinkler machine situated in the farm such that it is equidistant from points A,B and C.
  i) Calculate the distance of the sprinkler from point C.
  ii) The sprinkler rotates in a circular motion so that the maximum point reached by the water jets is the vertices A,B, and C. Calculate the area outside his farm that will be irrigated.

  Date posted: August 16, 2019 .    Answers (1)

• John is a sales agent in a company that pays him a basic salary of sh.5000. In addition he is given a commission of 5%... (Solved)
  

  John is a sales agent in a company that pays him a basic salary of sh.5000. In addition he is given a commission of 5% on sales worth sh.200, 000 and 7.5% on any additional sales above sh. 200,000.
  a) In January his total sale was sh. 420,000. How much did he earn in total.
  b) In February, his total earnings was sh.28125. Calculate his total sales in February.
  c) The following year the company changed its policy to a flat rate commission of 9% on goods sold. In the first month, John sold goods worth sh.450,000. Find the percentage change in earning compared to the old policy.

  Date posted: August 16, 2019 .    Answers (1)

• A measuring cylinder of radius 5cm contains water whose level reads 6cm high. A spherical object is immersed in the water and the new level... (Solved)
  

  A measuring cylinder of radius 5cm contains water whose level reads 6cm high. A spherical object is immersed in the water and the new level reads 10cm. Calculate the radius of the spherical object.

  Date posted: August 16, 2019 .    Answers (1)

• In triangle ABC below, AC=BC, AB is parallel to DE, AB=15cm, DE=7.5cm and BE=6cm. Calculate a) Length CE b) Area of quadrilateral ABED. (Solved)
  

  In triangle ABC below, AC=BC, AB is parallel to DE, AB=15cm, DE=7.5cm and BE=6cm.
  
  Calculate
  a) Length CE
  b) Area of quadrilateral ABED.

  Date posted: August 16, 2019 .    Answers (1)

• Mr. Owino spends a quarter of his salary on school fees. He spends two-thirds of the remainder on food and a fifth of what is... (Solved)
  

  Mr. Owino spends a quarter of his salary on school fees. He spends two-thirds of the remainder on food and a fifth of what is left on transport. He saves the balance. In a certain month he saved Sh.3400. What is his salary?

  Date posted: August 16, 2019 .    Answers (1)

• Tsuma bought some rice at sh 30 per kg.He packed two- fifths of the rice in 2kg packets which he sold at shs. 85 per... (Solved)
  

  Tsuma bought some rice at sh 30 per kg.He packed two- fifths of the rice in 2kg packets which he sold at shs. 85 per packet. He packed the other three- fifths in 3 kg packets and sold thee at shs. 120 per packet. He sold all the rice in this way and made a profit of sh. 4400.
  a) Determine the amount of rice bought.
  b) Calculate to one decimal place.
  i) The percentage profit he made.
  ii) The percentage profit she would have made if he had sold all the rice in 2kg packet.

  Date posted: August 15, 2019 .    Answers (1)

• Use tables of reciprocal only to work out (Solved)
  

  Use tables of reciprocal only to work out
  
  

  Date posted: August 15, 2019 .    Answers (1)

• Under an enlargement centre ( 2,1) the image of P ( 1,-1) is P` ( 4,5). Determine the scale factor of the enlargement (Solved)
  

  Under an enlargement centre ( 2,1) the image of P ( 1,-1) is P` ( 4,5). Determine the scale factor of the enlargement

  Date posted: August 15, 2019 .    Answers (1)

• The sum of the digits in three digit number is nine. The tens ten is digits half the sum of the other two and the... (Solved)
  

  The sum of the digits in three digit number is nine. The tens ten is digits half the sum of the other two and the hundreds digit is half the units digit. Find the number.

  Date posted: August 15, 2019 .    Answers (1)

• Find the equation of a line perpendicular to 2x +4Y = 8, which crosses the line at its y –Intercept. (Solved)
  

  Find the equation of a line perpendicular to 2x +4Y = 8, which crosses the line at its y –Intercept.

  Date posted: August 15, 2019 .    Answers (1)

• If x: y = 4:7 and y :z = 5:3 find the ratio x:y: z (Solved)
  

  If x: y = 4:7 and y :z = 5:3 find the ratio x:y: z

  Date posted: August 15, 2019 .    Answers (1)

• The diagram below (not drawn to scale) shows the position of a harbor H and three islands A,B and C. C is due North of... (Solved)
  

  The diagram below (not drawn to scale) shows the position of a harbor H and three islands A,B and C. C is due North of H. The bearing of A from H is 062⁰ and angle HAB=128⁰ HA=54km and AB=31km.
  
  a) Calculate the distance HB
  b) Find the bearing of B from A
  c) Given that the bearing of A from C is 1330, calculate AC
  d) A light ship L is positioned due North of H and equidistant from A and H.
  Calculate HL.

  Date posted: August 15, 2019 .    Answers (1)

• Four towns P, Q, R and S are such that town Q is 120km due east of town P. Town R is 160km due north... (Solved)
  

  Four towns P, Q, R and S are such that town Q is 120km due east of town P. Town R is 160km due north of town Q, town S is on a bearing of 330⁰ from P and on a bearing of 300⁰ from R.
  a) Using ruler and compasses only, show the relative positions of towns P,Q,R and S. Take a scale of 1cm rep 50km.
  b) Determine
  i) The distance SP in km
  ii) The bearing of S from Q
  iii) How far north, S is, from line QP produced.

  Date posted: August 15, 2019 .    Answers (1)

• A flag post 12m long is fixed on top of a tower. From a point on horizontal ground, the angles of elevation of the top... (Solved)
  

  A flag post 12m long is fixed on top of a tower. From a point on horizontal ground, the angles of elevation of the top and bottom of the flag post are 46⁰ and 33⁰ respectively.
  Calculate
  a) The horizontal distance from the point on the ground to the base of the tower.
  b) The total height of the tower and the flag.
  c) The shortest distances from the point on the ground to
  i) The top of the flag post.
  ii) The top of the tower.

  Date posted: August 15, 2019 .    Answers (1)

• The figure below shows a portable Kennel. a) Calculate i) The total surface area of the walls and the floor. ii) The total area of the roof.... (Solved)
  

  The figure below shows a portable Kennel.
  
  a) Calculate
  i) The total surface area of the walls and the floor.
  ii) The total area of the roof.
  b) The cost of roofing is Ksh 500 per square meter and that of making walls and floor is Ksh 600 per m².Find the cost of making the Kennel.
  c) Find the cost of roofing another Kennel whose dimensions are 50% more than those of the given Kennel
  d) Calculate the volume of air inside the Kennel in cm³.

  Date posted: August 15, 2019 .    Answers (1)

• A poultry farmer has twenty times as many hens as turkeys and three quarters as many ducks as turkeys. a) If there are t, turkeys, write... (Solved)
  

  A poultry farmer has twenty times as many hens as turkeys and three quarters as many ducks as turkeys.
  a) If there are t, turkeys, write down a simplified expression in terms of t for the total number of birds on the farm.
  b) Given that he has 72 ducks, calculate as a percentage the sum of turkeys and ducks to the number of hens on the farm.

  Date posted: August 15, 2019 .    Answers (1)

• The figure below shows an arc ACE of a circle with centre O and radius 6cm. If BC=CD=4cm, calculate the area of the shaded region... (Solved)
  

  The figure below shows an arc ACE of a circle with centre O and radius 6cm. If BC=CD=4cm, calculate the area of the shaded region if DE=AB =1.53cm.
  

  Date posted: August 15, 2019 .    Answers (1)

• The coordinates of the points P and Q are (1, -2) and (4, 10) respectively. A point T divides the line PQ in the ratio... (Solved)
  

  The coordinates of the points P and Q are (1, -2) and (4, 10) respectively. A point T divides the line PQ in the ratio 2:1
  a) Determine the coordinates of T
  b) Find the equation of the line perpendicular to PQ and passing through T.

  Date posted: August 15, 2019 .    Answers (1)

• A sales man earns a basic wage of Ksh 1,500 per week. In addition , he is paid commission per week as follows: ... (Solved)
  

  A sales man earns a basic wage of Ksh 1,500 per week. In addition , he is paid commission per week as follows:
  Commission
  For sales up to Ksh 50,000 0%
  For sales above Ksh 50,000
  i) For the first Ksh 25,000 2%
  ii) For the next Ksh 25,000 2 ½ %
  iii) For any amount above Ksh100,000 5%
  During that week, he sold goods worth Ksh 115,000.What was his total pay for that week?

  Date posted: August 15, 2019 .    Answers (1)

• A cylinder of radius 14cm contains water. A metal solid hemisphere of radius 6.8cm is submerged into the water in the cylinder. Find the change... (Solved)
  

  A cylinder of radius 14cm contains water. A metal solid hemisphere of radius 6.8cm is submerged into the water in the cylinder. Find the change in height of the water in the cylinder.

  Date posted: August 15, 2019 .    Answers (1)