lets have the initial number of mangoes as M, pineapples as P and the total as x
so she had:
M + P = x .................................(i)
she then sold 50% more mangoes which is 50/100 M
= 1.5M
and a half the pineapples, which is
= 0.5P
and the total number of fruits was 10 less the first round, thus be
= x-10
so, we find that she took:
0.5P + 1.5M =x - 10 .......................................(ii)
we are also told that the number of mangoes and pineapples she took t=for the second time (0.5P and 1.5M) were equal, so
0.5P = 1.5M
thus, dividing through by 0.5,
we find that
P = 3M
Applying this to the equation (i)
we substitute P with 3M
hence: M + P =x
= M + 3M = x
hence: 4M = x
applying this to equation (ii)
1.5M + 0.5P = x-10 (but x=4M, P=3M)
1.5M + 0.5(3M) = 4M - 10
1.5M + 1.5M = 4M - 10
3M = 4M - 10
hence 10= M
Wwe know that x=4M
hence x = 10x4
x = 40
we also know that, P = 3M
Hence: P = 10x3
P = 30
from the question, we are ask to provide the number of fruits she took tothe market the first time, we have them as:
10 Mangoes, 30 Pineapples and a total of 40 fruits
Eng melau answered the question on June 12, 2018 at 16:48
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