SOLUTION: A box contains apple and pears. An equal number of apples and pears are rotten. 2/3 of all the apples are rotten. 3/4 of all the pears are rotten. What fraction of the total number

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Question 1144735: A box contains apple and pears. An equal number of apples and pears are rotten. 2/3 of all the apples are rotten. 3/4 of all the pears are rotten. What fraction of the total number of pieces of fruit in the box is rotten? Solve using algebra.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
m apples
p pears
m+p, total pieces of fruit

%282%2F3%29m=%283%2F4%29p

%282%2F3%29%284%2F3%29m=p

p=%288%2F9%29m

Total quantity rotten fruit, 2%282%2F3%29m=%284%2F3%29m.

Total fruit in box, m%2Bp=m%2B%288%2F9%29m=%289%2F9%29m%2B%288%2F9%29m=%2817%2F9%29m.

Fraction of fruit rotten:
%284%2F3%29%2F%2817%2F9%29
%284%2F1%29%2F%2817%2F3%29

12%2F17