Question

Sophia babysits for $15 per hour. She mows lawns for $12 per hour.

This weekend, Sophia babysits 4 more hours than she mows lawns.
She earns a total of $195. Write a system of equations that can be used
to find how many hours she worked at each job.
Let b be hours babysitting. Let m be hours mowing.
b=m+ 4
hours worked
15b + 12m = 195 total money earned (please help me with both parts)

Answer 1

0

Explanation:

Answer 2

If Sophia babysits for $15 per hour. She mows lawns for $12 per hour. Sophia worked 9 hours babysitting and 5 hours mowing lawns to earn a total of $195.

What is the time?

a. The hourly rate for babysitting is represented by the number 15, and the number of hours she watches is indicated by the letter b. In a similar vein, m denotes the quantity of hours she mows lawns, and 12 denotes her hourly rate.

b. Let b represent the number of hours Sophia babysits

let m represent the number of hours she mows lawns.

The number of hours Sophia babysits is 4 more than the number of hours she mows lawns:

b = m + 4.

Sophia earns a total of $195:

15b + 12m = 195

Solve the system of equations.

Substitute the value of b from equation 1 into equation 2:

15(m + 4) + 12m = 195

15m + 60 + 12m = 195

27m + 60 = 195

27m = 195 - 60

27m = 135

m = 135 / 27

m = 5

Substitute the value of m back into equation 1 to find b:

b = m + 4

b = 5 + 4

b = 9

Therefore Sophia worked 9 hours babysitting and 5 hours mowing lawns to earn a total of $195.