# Mathematics

There were some apples, oranges and pears in a basket. There are 50% more oranges than apples. The ratio of the number of apples to the number of pears was 5:4.
(a) Find the ratio of the number of apples to the number of oranges to the number of pears.
(b) If there were 56 more oranges than pears, how many fruits were there in the basket altogether?

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1. number of apples ---- x
number of oranges --- 1.5x
number of pears ---- y
x/y = 5/4
5y = 4x
y = 4x/5

a) apples : oranges = x : 1.5x = 1 : 1.5 = 2:3

b) 1.5x - 4x/5 = 56
solve for x

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