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Sarah made an 82% on her first test. What must she get on her next test to have an average of at least 90%? (assume 100 points per test) (it must be done algebraically to be correct).

 Feb 4, 2019
 #1
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it was wrong.

 Feb 4, 2019
edited by ReallyWC  Feb 4, 2019
 #2
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Thanks, ReallyWC....!!!!

 

[ 82 + x ] / 2 ≥ 90     multiply through by 2

 

82 + x ≥  180      subtract 82 from both sides

 

x ≥ 98

 

[She needs to make at least a "98" ]

 

Wasn't that your original answer, ReallyWC???

 

 

 

cool cool cool

CPhill  Feb 4, 2019
edited by CPhill  Feb 4, 2019
 #3
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+1

Thx for trying  ReallyWC. 

Guest Feb 4, 2019
 #4
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Let S be the required score

 

The total of the two scores divided by two will give the average.

 

(S + 82) / 2 = 90     multiply both sides by 2

 

S + 82 = 180           subtract 82 from both sides

 

S = 180 - 82             complete the subtraction

 

S = 98                       Sarah must make a 98 on her next test to average 90

 Feb 4, 2019

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