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Carmen has scored 76, 71, 80, 67, and 60 on her previous five tests. What score does she need on her next test so that her average (mean) is 74?

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GinnyAnsweridn
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.
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