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 $235.60? (Round to two decimal places if necessary.)
Accepted Solution
A:
Answer:Julie worked 18 hours at Job A and 17 hours at Job B.Step-by-step explanation:1. Let's review the data given to us for solving the question:Rate per hour at Job A = US$ 6.10Rate per hour at Job B = US$$ 7.40Hours at Job A = xHours at Job B = 35 - xTotal of hours worked by Julie = 35 hoursTotal weekly earnings = US$ 235.602. 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) = 235.606.10x + 259 - 7.4x = 235.60-1.3x = 235.60 - 259 (Subtracting 259 to both sides)-1.3x = - 23.40x = -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) = 235.606.10 (18) + 7.4 (35 - 18) = 235.60109.80 + 125.80 = 235.60235.60 = 235.60It's proven that x = 18 is correct.