In solving part (a)
First get the real volumes of water and alcohol
Water 40%*80=32ltrs
Alcohol 60%*80=48ltrs
Since only water was added the amount of alcohol didn't change bt only volume was dilute
48L=40%
XL=60%
Cross multiply and divide
(48L*60%)รท40% = 72L
X therefore is 40L
= 72-32=40L
IN SOLVING PART (b)
72L+30L=102L
Total volume=102L+48L=150L
%Alcohol=(48/150)*100=32%
IN SOLVING PART (c)
First get the volumes of water and alcohol in the 5L and 2L.
In 5L
Water=68% of 5L=3.4L
Alcohol=32% of 5L=1.6L
In 2L
Water=40% of 2=0.8L
Alcohol=60% of 2=1.2L
In the solution (7L)
Water= 3.4L+0.8L=4.2L
Alcohol= 1.6L+1.2L=3.8L
Calculation of ratios of water to alcohol
4.2:3.8
=42:38
Simplify
7:9
Charles W answered the question on December 26, 2017 at 09:33
- Three grades A,B and C of rice were mixed in the ratio 3:4:5.The cost per kg of each of the grades A,B and C were...(Solved)
Three grades A,B and C of rice were mixed in the ratio 3:4:5.The cost per kg of each of the grades A,B and C were ksh.120,ksh.90 and ksh.60 respectively. calculate
a.the cost of 1kg of the mixture
b.the selling price of 5kg of the mixture given that the mixture was sold at 8% profit.
Date posted: December 13, 2017. Answers (1)
- Water and milk are mixed such that the ratio of the volume of water to that of milk is 4:1. Taking the density of water...(Solved)
water and milk are mixed such that the ratio of the volume of water to that of milk is 4:1. Taking the density of water as 1g/cm^3 and that of milk as 1.2g/cm^3, find the mass in grammes of 2.5 litres of the mixture.
Date posted: December 13, 2017. Answers (1)
- What is a random experiment as used in statistics?(Solved)
What is a random experiment as used in statistics?
Date posted: December 11, 2017. Answers (1)
- The probability that the school team wins a match is 0.6. The probability that the team loses is 0.3 and the probability that the team...(Solved)
The probability that the school team wins a match is 0.6. The probability that the team loses is 0.3 and the probability that the team has is 0.1. The team plays 3 games. What is the probability that the team;(a)wins two matches
(b)either wins all the matches or loses all the matches
(c)wins one match,loses one and ties in one
Date posted: December 9, 2017. Answers (1)
- Find the equation of a circle whose diameter has the end points (-2,5) and (4,1)(Solved)
Find the equation of a circle whose diameter has the end points (-2,5) and (4,1)
Date posted: December 9, 2017. Answers (1)
- In a factory, machines A, B and C produce identical balls. The probability that a ball was produced by machine A or B is...(Solved)
In a factory, machines A, B and C produce identical balls. The probability that a ball was produced by machine A or B is 11/15. The probability that a ball was produced by a machine B or C is 2/3. lf the probability that a ball was produced by machine A is 1/3, what is the probability that a ball was produced by machine C?
Date posted: December 9, 2017. Answers (1)
- A bus takes 195 minutes to travel a distance of (2 x +30) km at an average speed of ( x-20) km/hr. calculate the actual...(Solved)
A bus takes 195 minutes to travel a distance of (2 x +30) km at an average speed of ( x-20) km/hr. calculate the actual distance travelled. Give your answer in kilometers.
Date posted: December 8, 2017. Answers (1)
- State three disadvantages of secondary data in statistics(Solved)
State three disadvantages of secondary data in statistics
Date posted: December 4, 2017. Answers (1)
- State three types of correlation in statistics.(Solved)
State three types of correlation in statistics.
Date posted: December 3, 2017. Answers (1)
- State two major methods of measuring correlation(Solved)
State two major methods of measuring correlation.
Date posted: December 3, 2017. Answers (1)
- Define correlation in mathematics.(Solved)
Define correlation in mathematics.
Date posted: December 3, 2017. Answers (1)
- State three properties of standard deviation.(Solved)
State three properties of standard deviation.
Date posted: December 2, 2017. Answers (1)
- Solve for x: cos 3x = sin 6x(Solved)
This is under trigonometry
Date posted: November 21, 2017. Answers (1)
- Kipkemboi running at 10m/s starts 5 m ahead of Mutola who is running at 12m/s. How far from Kipkemboi's
starting point does Mutola overtake him?...(Solved)
Kipkemboi running at 10m/s starts 5 m ahead of Mutola who is running at 12m/s. How far from Kipkemboi's
starting point does Mutola overtake him?
Date posted: November 21, 2017. Answers (1)
- Nafula broke three beakers and 4 test tubes and Munyao broke two beakers and 5 test tubes during practicals in the laboratory. If Nafula was...(Solved)
Nafula broke three beakers and 4 test tubes and Munyao broke two beakers and 5 test tubes during practicals in the laboratory. If Nafula was charged Sh 560 and Munyao Sh 490 for the breakages, find the cost of one beaker and one test tube.
Date posted: November 20, 2017. Answers (1)
- Use tables of logarithms to evaluate. (Solved)
Use tables of logarithms to evaluate.
$\frac{4.28 \times 0.01677}{tan 20^o}$
Date posted: November 20, 2017. Answers (1)
- Find dy/dx,let y=x^2+3. ...(Solved)
Find dy/dx,let y=x^2+3.
Date posted: November 18, 2017. Answers (1)
- Define the following terms as used in real analysis..1.a set,2.cardinality ,3.null sets, 4.equal sets(Solved)
Define the following terms as used in real analysis..1.a set,2.cardinality ,3.null sets, 4.equal sets
Date posted: November 18, 2017. Answers (1)
- What are real numbers (Solved)
What are real numbers
Date posted: November 18, 2017. Answers (1)
- Find the perimeter of a square lawn whose area is 81 cm^2(Solved)
Find the perimeter of a square lawn whose area is 81 cm^2
Date posted: November 17, 2017. Answers (1)