Rachel works 2 jobs. She is paid $15/hr as a caretaker and $8/hr as a dog walker. Last week she worked a total of 21 hours and made $280. How many hours did she work at each job that week? Show calculations.

Therefore at each job last week, she worked for

a) 16 hours as a caretaker

b) 5 hours as a dog walker

Step-by-step explanation:

Let us represent:

The number of hours worked as a caretaker = a

The number of hours worked as a dog walker = b

She is paid $15/hr as a caretaker and $8/hr as a dog walker

Last week she worked a total of 21 hours and made $280

Hence we have the equation:

a + b = 21 Equation 1

a = 21 - b

15 × a + 8 × b = 280

15a + 8b = 280Equation 2

Substitute 21 - b for a in Equation 3

15(21 - b) + 8b = 280

315 - 15b + 8b = 280

Collect like terms

-15b + 8b = 280 - 315

-7b = -35

Divide both sides by -7

-7b/-7 = -35/-7

b = 5

Since, the number of hours worked as a dog walker = b

Hence, she worked 5 hours as a dog walker

Let's substitute 5 for b in Equation 1

a + b = 21 Equation 1

a + 5 = 21

a = 21 - 5

a = 16

Since, the number of hours worked as a caretaker = a

Hence, she worked as caretaker for 16 hours.

Therefore at each job last week, she worked for

a) 16 hours as a caretaker

b) 5 hours as a dog walker

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step-by-step explanation: