Question

Last summer you earned $276 each week. You carned $9 per hour babysitting and $12 per hour

working at Jewel. You worked 25 hours each week. Write and solve a system of equations to
determine the number of hours you worked babysitting and the number of hours you worked at
Jewel each week.

Answer 1

Explanation:

Let's denote the number of hours worked babysitting each week by "b", and the number of hours worked at Jewel by "j".

From the given information, we know that:

You worked a total of 25 hours each week, so b + j = 25

You earned $276 each week, and earned $9 per hour babysitting and $12 per hour at Jewel, so we can write the equation:

9b + 12j = 276

So the system of equations can be written as:

b + j = 25

9b + 12j = 276

To solve this system, we can use substitution or elimination method. Let's use substitution here:

From the first equation, we can solve for j:

j = 25 - b

Substituting this expression for j into the second equation, we get:

9b + 12(25 - b) = 276

Simplifying and solving for b, we get:

9b + 300 - 12b = 276

-3b = -24

b = 8

So you worked 8 hours babysitting each week. To find the number of hours worked at Jewel, we can substitute b = 8 into the first equation and solve for j:

8 + j = 25

j = 17

Therefore, you worked 17 hours at Jewel each week.