Question

what is £77 in the ratio of 3:8

Answer 1

3:8=3x:8x

So 3x+8x=77

11x=77

x=7

3x=21, 8x=65

21:56

Answer 2

£21 and £56

sum the parts of the ratio 3 + 8 = 11

divide £77 by 11 to find 1 part of the ratio

$\frac{77}{11}$ = £7 ← 1 part of the ratio

3 parts = 3 × 7 = £21

8 parts = 8 × 7 = £56