Answer:
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 = 280......Equation 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
