Question

Andrew’s math teacher entered the seventh-grade students in a math competition. There was an enrollment fee of $30 and also an $11 charge for each packet of 10 tests. The total cost was $151. How many tests were purchased?

Answer 1

Answer:

11 Test Packets

Step-by-step explanation:

151-30=121/11=11

Answer 2

The number of tests taken by Andrew is 110.

Given to us

• enrollment fee = $30

• $11 charge for each packet of 10 tests

• The total cost was $151

The problem can be solved using the linear equation,

Constant

As the enrollment cost will be charged even if Andrew doesn't buy the test pack. Therefore, the enrollment cost can be assumed as a fixed cost or a constant.

Variable

The variable cost depends upon the number of tests taken by Andrew, also, each test costs a fee of $11 to Andrew. therefore the variable will be 11x where x is representing the number of tests taken by Andrew.

Total Cost

The total cost is already given as $151, Therefore, the linear equation can be written as,

$151 = 11x+30$

Solving for x,

$151 =11x+30\\151-30=11x\\121=11x\\x = 11$

Thus, the number of test packs Andrew took is 11, where each pack has 10 tests. Therefore the number of tests Andrew took,

Number of test Andrew took

        = number of test packs Andrew took  x   each pack has 10 tests

        =  11 x 10

        =  110

Hence, the number of tests taken by Andrew is 110.

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