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.
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.