Question

Mike and Luke share a sum of money in the ratio 8:11

Luke got
£48 more than Mike.

How much did Mike receive?

Answer 1

£96

Explanation:

mike: luke

8 : 11

11-8=4 so 4 parts= £48

48÷4= 12 so 1 part=£12

12×8= 96 so 8 parts= £96

Answer 2

Mike received £128

Explanation:

Mike/Luke = 8/11 = x/(x+48)

8(x+48) = 11x

8x + 384 = 11x

384 = 3x

x = 384/3 = 128 = amount Mike received

check answer for correctness:

x = 128 (Mike)

x + 48 = 128 + 48 = 176 (Luke)

128/176 = 8/11