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nata0808 [166]
3 years ago
12

Kevin will take 4 math tests this term. All of the tests are worth the same number of points. After taking the first 3 tests, hi

s mean test score is 88 points. How many points does he need on his last test to raise his mean test score to 90 points?
Mathematics
1 answer:
Makovka662 [10]3 years ago
4 0

Answer:

Kevin needs 96 points on his last test to raise his mean test score to 90 points.

Step-by-step explanation:

we know that

The mean score is the total of all scores divided by the total number of tests.

Let

x_1 ----> the score in the first math test

x_2 ----> the score in the second math test

x_3 ----> the score in the third math test

x_4 ----> the score in the fourth math test

we have

After taking the first 3 tests, his mean test score is 88 points

so

\frac{x_1+x_2+x_3}{3} =88

x_1+x_2+x_3=264 ----> equation A

How many points does he need on his last test to raise his mean test score to 90 points?

so

\frac{x_1+x_2+x_3+x_4}{4} =90

x_1+x_2+x_3+x_4=360 ----> equation B

substitute equation A in equation B

264 + x_4 = 360

solve for x_4

x_4 = 360-264

x_4 = 96

Therefore

Kevin needs 96 points on his last test to raise his mean test score to 90 points.

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