Question

Samantha sends her son, Barry, to a preschool center on certain days. The cost of preschool is $45 per day along with a fixed monthly charge of $70. Last month, Samantha paid a total of $880 to the preschool center. Let d represent the number of days Barry spent at the preschool center last month. Which equation represents this situation, and how many days did Barry attend preschool last month?

A. 880 = 90d + 45; 9 days

B. 880 = 70d - 45; 21 days

C. 810 = 45d; 19 days

D. 880 = 45d + 70; 18 days

Answer 1

Answer: Option D

D.
`880 = 45d + 70`;
`18\ days`

Explanation:

We know that the cost of preschool is $ 45 per day plus a monthly fee of $ 70.

We also know that a total of $ 880 was paid last month

To write an equation that represents this situation, let us call "d" the number of days that Barry attends school

So the cost was:

`45d + 70 = 880`

Now we solve the equation for the variable d

`45d= 880-70`

`d= (810)/(45)`

`d= 18\ days`

Therefore answer is the option D