Question

madison works a job before and after school, before school she earns $11.50 an hour and after she earns $11.75 an hour. last week she earned a total of $262.50. she worked twice as many hours after school. how many hours did she work at each job last week

Answer 1

Madison worked for 7.5 hours before school and 15 hours after school

Solution:

Given that, Madison works a job before and after school

Amount earned before school = $ 11.50 per hour

Amount earned after school = $ 11.75 per hour

Amount earned last week = $ 262.50

Let "x" be the hours worked before school

Given that, she worked twice as many hours after school

So, number of hours worked after school = 2x

Therefore, we can say,

Total amount earned = (Amount earned before school)(number of hours) + (Amount earned after school)(number of hours)

$262.50 = 11.50(x) + 11.75(2x)\\\\262.50 = 11.50x + 23.5x\\\\35x = 262.50\\\\x = 7.5$

Number of hours worked after school = 2x = 2(7.5) = 15

Thus Madison worked for 7.5 hours before school and 15 hours after school