To determine the score Carmen needs on her next test to achieve an average of 74, we can follow these steps:
1. Calculate the total score Carmen currently has from her five tests:
[tex]\[
76 + 71 + 80 + 67 + 60 = 354
\][/tex]
2. Determine the desired average score:
Carmen wants her average score to be 74.
3. Calculate the number of tests she will have taken after the next test:
She has taken 5 tests already, and the next test will be her 6th test.
4. Determine the total score needed to achieve the desired average:
To find out the total score needed, multiply the desired average by the total number of tests:
[tex]\[
74 \times 6 = 444
\][/tex]
5. Calculate the score needed on the next test:
Subtract the current total score from the total score needed to find out the score she requires on the next test:
[tex]\[
444 - 354 = 90
\][/tex]
Therefore, Carmen needs to score 90 on her next test to have an average score of 74.
