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.
810 = 45d; 19 days
C.
880 = 70d - 45; 21 days
D.
880 = 45d + 70; 18 days

Answer 1

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

Explanation:

We are given fixed monthly charge = $70.

The cost of preschool per day = $45.

Number of days = d.

Total cost of d days = cost per day × number of days + fixed monthly charge.

Therefore, we get equation

880 = 45×d+70

880 = 45d +70.

Now, we need to solve the equation for d.

Subtracting 70 from both sides, we get

880-70 = 45d +70-70

810=45d

Dividing both sides by 45, we get

`(810)/(45) =(45d)/(45)`

18=d.

Therefore, 18 days Barry attended preschool last month.

Therefore, correct option is D option.

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