Question

In one minute, Evan can do nine less than four times the number of push-ups that Lucy can do. if they did 61 push-ups in all, how many more push ups did Evan do than lucy

Answer 1

Evan does 33 more push-ups than Lucy

let x be the number of push-ups Lucy does , then

Evan does 4x - 9 push-ups

The total number of push-ups is 61

hence x + 4x - 9 = 61 has to be solved

that is 5x - 9 = 61

add 9 to both sides

5x = 61 + 9 = 70

divide both sides by 5

x = $\frac{70}{5}$ = 14

Lucy does 14 push-ups and Evan does 4x - 9 =(4 × 14) - 9 = 47

Thus Evan does 47 - 14 = 33 more push-ups than Lucy