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 By: rpgwwk (offline)  Monday, March 05 2012 @ 10:36 AM CST (Read 1818 times)
rpgwwk

Alex bought some apples, pears and oranges. The ratio of the number of apples to the total number of pears and oranges was
1 : 8. The ratio of the number of pears to the total number of apples and oranges was 2 : 3. Alex bought 34 more oranges than apples. What was the total number of fruits Alex bought?

Thank you!

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Registered: 09/27/11
Posts: 6

 By: awyw1201 (offline)  Monday, March 05 2012 @ 09:10 PM CST
awyw1201

In this qn, the total number of fruits remains constant in the two sets of ratio
Thus, equalise the total number of units in both sets of ratio.

A : P + O------1 : 8----(1)

P : A + O-----2 : 3----(2)

The total units in (1) is 9 and the total units in (2) is 5.
L.C.M of 9 and 5 is 45.

So, multiply (1) by 5 and (2) by 9, we have

A : P + O------5 : 40

P : A + O-----18 : 27

Thus, A- 5u, P-18u and O-22u

22-5= 17u----34
1u---2
45u--90

Ans; 90 fruits

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Registered: 07/08/11
Posts: 87

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