Let's assume Susan's rate of pay per hour is x.
Since Janet is paid $0.50 more than Susan, her rate of pay per hour would be x + $0.50.
Since both Janet and Susan worked 7 hours, Susan's income would be 7x dollars.
Janet's income would be 7(x + $0.50) dollars.
The combined income of Janet and Susan would be Susan's income plus Janet's income, which is equal to $112:
7x + 7(x + $0.50) = $112.
To find the rates of pay, we need to solve this equation.
7x + 7x + $3.50 = $112,
14x = $108.50,
x = $108.50 / 14,
x ≈ $7.75.
Therefore, Susan gets paid at a rate of approximately $7.75 per hour, and Janet gets paid at a rate of $7.75 + $0.50 = $8.25 per hour.
Janet is paid $0.50 more than Susan. They both worked 7 hours and their combined income was $112.
a. At what rate does each get paid?
b. Write an equation modeling the combined income of Janet and Susan.
1 answer
1 answer