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2. Sam has two part-time jobs, delivering pizza and mowing lawns. He makes $9/hr delivering pizza and $7/hr mowing lawns. Last week he worke
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2. Sam has two part-time jobs, delivering pizza and mowing lawns. He makes $9/hr delivering pizza and $7/hr mowing lawns. Last week he worked a total of 32 hours and made $248. How many hours did he work at each job
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Mathematics
5 years
2021-09-02T22:32:30+00:00
2021-09-02T22:32:30+00:00 1 Answers
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Answer:
22 hours and 10 hours
Step-by-step explanation:
let the jobs be x and y, so that
x+y=32——–1
9x+7y=248—-2
x=32-y
substitute x=32-y for x in equation 2 we have
9(32-y)+7y=248
open bracket we have
288-9y+7y=248
-2y=248-288
-2y=-40
2y=40
divide both sides by 2 we have
y=40/2
y= 10 hours
subtitute y=10 for y in equation 1 to find x
x+10=32——–1
x=32-10
x=22
x=22 hours