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Bunuel
Sally receives the following scores on her math tests: 78, 92, 83, 99 . What score does she need on the next test in order to have an average of 90 on her math tests?

A. 92
B. 98
C. 99
D. 100
E. 101


352+x= 90 * 5
x = 98
IMO B
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Bunuel
Sally receives the following scores on her math tests: 78, 92, 83, 99 . What score does she need on the next test in order to have an average of 90 on her math tests?

A. 92
B. 98
C. 99
D. 100
E. 101

We can let n = the score on the next test and create the equation:

(78 + 92 + 83 + 99 + n)/5 = 90

78 + 92 + 83 + 99 + n = 450

352 + n = 450

n = 98

Alternate Solution:

Let’s calculate the number of points away from 90 that each previous test is.

78 is 12 points below 90.

92 is 2 points above 90.

83 is 7 points below 90.

99 is 9 points above 90.

Her net amount is -12 + 2 - 7 + 9 = -8. Thus, she is 8 points below 90 for all 4 previous tests. Therefore, she must score 90 + 8 additional points (to make up the deficit), for a total score of 98 on the next test..

Answer: B
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