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

Answer:

Step-by-step 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

$\frac{A}{B} =\frac{1}{2}$ and cross multiplying,

2A = B or $A=\frac{1}{2}B$

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

$\frac{B}{C} =\frac{4}{3}$ and cross multiplying,

3B = 4C or $C=\frac{3}{4}B$

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

$\frac{1}{2}B+B+\frac{3}{4}B=90$, and

$\frac{9}{4}B=90$ and

9B = 360 so

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