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Write a equation for Andrew 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 19 tests. The total cost was $151. How many tests were purchased

User Eric MSFT
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Final answer:

The equation for the total cost of the math competition is $151 = $30 + ($11 * x), where x represents the number of test packets purchased. By solving the equation, we find that approximately 11 test packets were purchased for the math competition.

Step-by-step explanation:

We can express the total cost of the math competition using an equation. Let's assume that x represents the number of test packets purchased. The enrollment fee of $30 is a fixed cost and the charge of $11 per packet of 19 tests is a variable cost that depends on the number of test packets purchased (x).

So the equation can be written as:

Total cost = enrollment fee + (charge per packet * number of test packets)

$151 = $30 + ($11 * x)

To find the number of tests purchased (x), we can solve this equation for x.

First, subtract $30 from both sides:

$151 - $30 = $11x

$121 = $11x

Finally, divide both sides by $11 to solve for x:

$121 / $11 = x

x ≈ 11

Therefore, approximately 11 test packets were purchased for the math competition.

User Bharatsing Parmar
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