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

Answer:

110 test

Step-by-step 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

$11(10)=110\ test$