April, May and June are counting up the money they've saved from their weekly allowance. May has 20% less than April, and June has 20% more than May. Together, the three girls have $138. How much money
does each girl have?

Answers:

April = $50May = $40June = $48

Work Shown:

x = amount April has

0.80x = amount May has

1.20*0.80x = 0.96x = amount June has

The sum of the three amounts adds to 138

(april) + (may) + (june) = 138

(x) + (0.80x) + (0.96x) = 138

2.76x = 138

x = 138/2.76

x = 50 is the amount April has

0.80x = 0.80*50 = 40 is the amount May has

0.96x = 0.96*50 = 48 is the amount June has

As a check, 50+40+48 = 90+48 = 138 to verify the answer.

Side notes:

Since May has 20% less than April, this means May has 80% of April's amount, which is where the 0.80 comes from in 0.80x; put another way, decreasing by 20% means we use the multiplier 0.80Increasing by 20% means we use the multiplier 1.2048/40 = 1.20Decreasing by 20% and then increasing by 20% will not lead you back to the original value (since we go from 50 to 40 then up to 48). This is because we're increasing by a smaller amount compared to the amount decreased earlier, i.e. 20% of a smaller value is smaller overall.

Ithink you're supposed to multiply 12.50 which is how much he makes per hour and then multiply it by each number then add whats left togrther and there's your answer