Question

Harry earns $45 a week more than Xena. George earns $18 a week less than Xena. If Harry earns the same amount in two weeks that George earns in three weeks, how much money does Xena earn a week?

This is Multi step equations and has to have a formula btw. Thanks. Help!!

Answer 1

Xena earns $144 a week

Explanation:

Let,

Xena earns a week = X

Harry earns a week = (X + 45)

George earns a week = (X - 18)

According to the question,

2(X + 45) = 3(X - 18)

or, 2X + 90 = 3X - 54

or, 2X - 3X = -90 - 54

or, -X = - 144

or, X = 144 (Multiplying by -1 in both sides)

Therefore, Xena earns $144 a week.

Harry earns = $(144+45) = $189 and George earns $(144-18) = $126.