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elena55 [62]
2 years ago
7

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 Jo

b 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.)
Mathematics
2 answers:
geniusboy [140]2 years ago
6 0

Answer:

<u>Julie worked 18 hours at Job A and 17 hours at Job B.</u>

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

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

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

<u>235.60 = 235.60</u>

<u>It's proven that x = 18 is correct.</u>

Alika [10]2 years ago
4 0

Answer:

Step-by-step explanation:

Let x represent the number of hours worked at Job A and 35-x represent the number of hours worked at Job B.

($6.10 × x) +$7.40 × (35-x) =$235.60

Solving for x

$6.10x + $259 - $7.40x = $235.60

Collect like terms and solve for x

$6.10x-$7.40x=$235.60-$259

-$1.3x=-$23.4

x=18hours for Job A while 35-x=17hours for Job B

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