Question

Gage's math teacher entered the seventh-grade student in a math competition. There was an enrollment fee of $30 and also $11 charge for each packet of 10 test. The total cost was $151. How many test were purchased . Set up an equation to model this situation and then solve it

Answer 1

110 test

Explanation:

Let

x ----> the number of packet of 10 test

y ----> the total cost

we know that

The number of packet of 10 test purchase multiplied by $11 plus the enrollment fee of $30 must be equal to $151

so

The linear equation that represent this scenario is

`y=11x+30`

we have

`y=\$151`

substitute

`151=11x+30`

Solve for x

subtract 30 both sides

`11x=151-30`

`11x=121`

Divide by 11 both sides

`x=11`

The number of packets purchase was 11

To find out the number of test, multiply the number of packets by 10

`11(10)=110\ test`