Question

Ratio question: Paul and Luke share some money in the ratio 4:7. Paul gets £12 less than Luke. How much did they have in total?

Answer 1

P/L=4/7  and P=L-12 so

(L-12)/L=4/7  multiply both sides by 7

(7L-84)/L=4  multiply both sides by L

7L-84=4L  subtract 4L from both sides

3L-84=0  add 84 to both sides

3L=84  divide both sides by 3

L=28, and since P=L-12

P=16

So they had 28+16 = £44 in total.