Working her way through school, julie works two part-time jobs for a total of 35 hours a week. job a pays $6.10 per hour, and job b pays $7.40 per hour. how many hours did she work at each job the week that she made $235.60? (round to two decimal places if necessary.)

Julie worked 18 hours at Job A and 17 hours at Job B.

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Rate per hour at Job A = US$ 6.10

Rate per hour at Job B = US$$ 7.40

Hours at Job A = x

Hours at Job B = 35 - x

Total of hours worked by Julie = 35 hours

Total weekly earnings = US$ 235.60

2. How many hours did she work at each job the week that she made $235.60?

For finding the result, we will use the following formula:

6.10x + 7.4 (35 - x) = 235.60

6.10x + 259 - 7.4x = 235.60

-1.3x = 235.60 - 259 (Subtracting 259 to both sides)

-1.3x = - 23.40

x = -23.4/-1.3 (Dividing by -1.3)

x = 18

Julie worked 18 hours at Job A, so she worked 17 (35 - 18) hours at Job B.

3. Proof that x = 18 is correct.

6.10x + 7.4 (35 - x) = 235.60

6.10 (18) + 7.4 (35 - 18) = 235.60

109.80 + 125.80 = 235.60

235.60 = 235.60

It's proven that x = 18 is correct.

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