Asked by Anonymous

Mr Chew had 152 more mangoes than durians. He sold some mangoes and durians. The ratio of the number of mangoes sold to the number of durians sold is 3:1. The ratio of the number of durians sold to the number of durians left is 1:2. 2/3 of the fruit left were mangoes.
(a) How many durians did he have left?
(b) How many mangoes did he have at first?

Answers

Answered by oobleck
m = d+152
If he sold x durians, then
x/(d-x) = 1/2
(m-3x) = 2/3 (m+d-4x)
from that we get
d=114
m=266
x=38
(a) 114-38 = 76
(b) m=266
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