Question

13. A, B and C share £90. The amount A and B get is in the ratio 1:2. The amount B and C

get is in the ratio 4:3. How much does A get?
I

Answer 1

Explanation:

If I have 90 pounds shared between A, B, and C, then in a mathematical equation,

A + B + C = 90

However, we have way too many unknowns.

We are told that the ratio of A to B is 1 to 2, or

`(A)/(B) =(1)/(2)` and cross multiplying,

2A = B or
`A=(1)/(2)B`

We are also told that the ratio of B to C is 4 to 3, or

`(B)/(C) =(4)/(3)` and cross multiplying,

3B = 4C or
`C=(3)/(4)B`

Now we have everything in terms of B, so we will rewrite it like that:

`(1)/(2)B+B+(3)/(4)B=90`, and

`(9)/(4)B=90` and

9B = 360 so

B = 40. If B is 40 and A is half of B, then A is 20.