Middle School

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You have two summer jobs. In the first job, you work 25 hours per week and earn $9 per hour. In the second job, you can work as many hours as you want per week and earn $7 per hour. If you want to make at least $365 per week, how many hours do you need to work at the second job?

Answer :

Answer:

20 hours

Step-by-step explanation:

25x9=225 (job 1)

365-225=140

140/7=20

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Rewritten by : Barada

Let's denote the number of hours you work at the second job as x.

For the first job:

- Hours per week: 25 hours

- Hourly rate: $9

So, the earnings from the first job per week would be:

[tex]\[ \text{Earnings}_1 = 25 \times 9 \][/tex]

For the second job:

- Hours per week: x hours

- Hourly rate: $7

So, the earnings from the second job per week would be:

[tex]\[ \text{Earnings}_2 = 7x \][/tex]

To make at least $365 per week, the total earnings from both jobs should be at least $365:

[tex]\[ \text{Total earnings} = \text{Earnings}_1 + \text{Earnings}_2 \geq 365 \][/tex]

Substituting the expressions for [tex]\( \text{Earnings}_1 \)[/tex]and [tex]\( \text{Earnings}_2 \)[/tex], we get:

[tex]\\\[ 25 \times 9 + 7x \geq 365 \]\[ 225 + 7x \geq 365 \]\[ 7x \geq 365 - 225 \]\[ 7x \geq 140 \]\[ x \geq \frac{140}{7} \]\[ x \geq 20 \][/tex]

So, you would need to work at least 20 hours at the second job to make at least $365 per week.