Question 1028181



let x = the number of hours that yvonne worked.
let y = the number of hours that peter worked.


you get x = 3/4 * y
y - x = 20


those are your two equations that you want to solve simultaneously.


replace x with 3/4 * y in the second equation to get:


y - 3/4 * y = 20


combine like terms to get 1/4 * y = 20


solve for y to get y = 80.


in the equation of y - x = 20, replace y with 80 to get 80 - x = 20 and solve for x to get x = 60.


you get y = 80 and x = 60


y is the number of hours that peter worked.
x is the number of hours that yvonne worked.


x = 3/4 * y
y - x = 20


the requirements of the problem were satisfied and that's your solution.