SOLUTION: You worked 14 hours last week and earned $96 before taxes. Your job as a lifeguard pays $8 per hour, and your job as a cashier pays $6 per hour. How many hours did you work at each

Question 220624: You worked 14 hours last week and earned $96 before taxes. Your job as a lifeguard pays $8 per hour, and your job as a cashier pays $6 per hour. How many hours did you work at each job?
Answer by likaaka(51) (Show Source): You can put this solution on YOUR website!
Let x represent the number of hours worked as a lifeguard and y represent the number of hours worked as a cashier. Now set up a system of equations using total hours worked and wages earned.
x+y=14
8x+6y=96
To solve using substitution:
x+y=14, set equation to x= by subtracting y from both sides
x=14-y, now substitute the value of x into the second equation
8(14-y)+6y=96, distribute the 8
112-8y+6y=96, combine like terms
112-2y=96, subtract 112 from both sides
-2y=-16, divide both sides by -2
y=8, so 8 hours are worked at the cashier job
Given y=8, solve for x
x+8=14, subtract 8 from both sides
x=6, so 6 hours are worked as a lifeguard
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