Question
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
Answers
GPT-4o mini
To find out how many tests were purchased, we can set up an equation based on the information provided.
Let \( x \) represent the number of packets of 10 tests purchased. Each packet costs $11, so the cost for \( x \) packets is \( 11x \).
The total cost includes the enrollment fee of $30 and the cost of the packets:
\[
30 + 11x = 151
\]
To solve for \( x \), first subtract 30 from both sides:
\[
11x = 151 - 30
\]
\[
11x = 121
\]
Next, divide both sides by 11:
\[
x = \frac{121}{11} = 11
\]
Since each packet contains 10 tests, the total number of tests purchased is:
\[
10x = 10 \times 11 = 110
\]
Thus, the total number of tests purchased is **110 tests**.
Let \( x \) represent the number of packets of 10 tests purchased. Each packet costs $11, so the cost for \( x \) packets is \( 11x \).
The total cost includes the enrollment fee of $30 and the cost of the packets:
\[
30 + 11x = 151
\]
To solve for \( x \), first subtract 30 from both sides:
\[
11x = 151 - 30
\]
\[
11x = 121
\]
Next, divide both sides by 11:
\[
x = \frac{121}{11} = 11
\]
Since each packet contains 10 tests, the total number of tests purchased is:
\[
10x = 10 \times 11 = 110
\]
Thus, the total number of tests purchased is **110 tests**.