Question

Carlie runs two different business. She needs to pay $100 for materials, and pay her associates $12 per hour for

her childcare business. And for her lawn care business, she has to pay $275 for materials, and pays her associates
$10 per hour
Which of the following shows the sum. T. of all of Carlie's expenses from both businesses?

Answer 1

`375+12ct_c+10lt_l`

Explanation:

Carlie is running two different business.

She needs to pay:

- For the childcare business,

100$ for the materials

12$ per hour for each associate for her childcare business, so if we call:

`t_c` = the number of hours worked by each associate

`c` = the number of associates

The total cost for the childcare business is:

`C=100+12ct_c` (1)

- For the lawn care business,

275$ for the materials

10$ per hour for each associate for her lawn care business, so if we call:

`t_l` = the number of hours worked by each associate

`l` = the number of associates

The total cost for the lawn care business is:

`L=275+10lt_l` (2)

Therefore, the total expenses from both businesses is the sum of (1) and (2):

`T=C+L=100+12ct_c+275+10lt_l = 375+12ct_c+10lt_l`