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>
