Question

Charlotte’s weekly paycheck is based on the number of hours worked during the week and on the weekend. If she works 13 hours during the week and 14 hours on the weekend, she earns $250.90. If she works 15 hours during the week and 8 hours on the weekend, she earns $204.70. How much more does Charlotte earn per hour on the weekends than she earns during the week? Round to the nearest cent.

Answer 1

let w = hours worked during week and e = hours worked during weekend

in general, money earned = hours worked * hourly wage

so 13w + 14e = 250.90 and 15w + 8e = 204.70 (make sure you can get to this step)

then solve the above system through elimination