Olivia works 4 hours more each week than her coworker lily . Olivia works a total of 32 hours every 2 weeks how many hours each week does lily work?
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Answer:
12 hours
Step-by-step explanation:
Let the number of hours Lily works each week be x.
This implies that of Olivia's is
x+4.
We were also told that for every two weeks, Olivia works a total of 32 hours.
This implies that
2(x+4)=32
We divide through by 2
\implies \frac{2(x + 4)}{2} = \frac{32}{2}⟹
2
2(x+4)
=
2
32
\implies x+ 4 = 16⟹x+4=16
We subtract 4 from both sides
\implies x+ 4- 4= 16 - 4⟹x+4−4=16−4
\implies x=12⟹x=12
Hence Lily works 12 hours each week
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