We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
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.
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Rewritten by : Barada
From the given information we have constructed a Set of Equation and found that, Olivia works 16 hours each week, and Lily works 12 hours each week, confirming that Olivia works 4 hours more than Lily as given in the problem.
1. Let's denote Olivia's weekly Duration as O and Lily's weekly hours as L.
2. According to the given information, Olivia works 4 hours more than Lily, so we can write this relationship as O = L + 4.
3. We also know that Olivia works a total of 32 hours every 2 weeks, which means she works
= 32 / 2
= 16 hours per week.
4. Now we can substitute Olivia's weekly hours into the first equation:
16 = L + 4.
5. Subtracting 4 from both sides gives us
L = 16 - 4
= 12 hours.
6. So, Lily works 12 hours each week.
Let's define O as the number of hours Olivia works each week, and L as the number of hours Lily works each week. According to the given information, Olivia works 4 hours more than Lily, which can be mathematically represented as:
O = L + 4.
Additionally, we're told that Olivia works a total of 32 hours every 2 weeks, which means she works 16 hours per week (32 / 2 = 16). Substituting this value into the equation above:
16 = L + 4.
Now, let's solve for L, the number of hours Lily works. Subtracting 4 from both sides of the equation:
L = 16 - 4,
L = 12.
Hence, Lily works 12 hours each week. Olivia works 4 hours more than Lily, so Olivia's weekly hours can be calculated as:
O = L + 4,
O = 12 + 4,
O = 16.
Therefore, Olivia works 16 hours each week, and Lily works 12 hours each week, confirming that Olivia works 4 hours more than Lily as given in the problem.
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