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
[tex] \implies \frac{2(x + 4)}{2} = \frac{32}{2} [/tex]
[tex] \implies x+ 4 = 16[/tex]
We subtract 4 from both sides
[tex]\implies x+ 4- 4= 16 - 4[/tex]
[tex]\implies x=12[/tex]
Hence Lily works 12 hours each week.
