Evaluate the expression shown below and write your answer as a fraction in simplest form.
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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 = = 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