Question

Andy and Bruce share some sweets in the ratio 9:4. Andy gets A sweets Bruce gets B sweets Carla and David share the same amount of sweets as Andy and Bruce. They share their sweets in the ratio 5:2. Carla gets C sweets David gets D sweets Find A:B:C:D​

Answer 1

63:28:65:26

Explanation:

You want to know the ratio A:B:C:D if A:B = 9:4 and C:D = 5:2, and the sums A+B and C+D have the same value.

Sums

In order for the numbers of sweets to be the same, their number must be a common multiple of the units into which they are divided. That is, they must be a multiple of ...

LCM(9+4, 5+2) = LCM(13, 7) = 91

Ratios

Then the ratios are ...

A : B : C : D = (9/13)(91) : (4/13)(91) : (5/7)(91) : (2/7)(91)

A : B : C : D = 63 : 28 : 65 : 26

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