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?

Answer 1

45d+70=$880. $880-70=$810. 810/45=18

Answer 2

The equation is:
`45d+70=880`

Barry attended preschool for 18 days last month.

Explanation:

The number of days, Barry spent at the preschool center last month is
`d`.

The cost of preschool is $45 per day. So, the total cost for
`d` days
`= \$45d`

Fixed monthly charge is $70.

So, the total charge of last month
`= (45d+70)\ dollars`

Given that, Samantha paid a total of $880 to the preschool center last month.

So, the equation that represents the situation:
`45d+70=880`

Solving the above equation, we will get........

`45d+70=880\\ \\ 45d=880-70\\ \\ 45d=810\\ \\ d=(810)/(45)=18`

So, Barry attended preschool for 18 days last month.