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o-na [289]
3 years ago
9

Sara got a 70%, 64%, and 83% on her first three tests. What must she get on her 4th test if she wants to get a final average of

75%?
Show your work, please.
Mathematics
2 answers:
natima [27]3 years ago
8 0

Answer: she must score 83% on her 4th test if she wants to get a final average of 75%

Step-by-step explanation:

The formula for determining average is expressed as.

Average = sum of the score/ number of tests.

Sara got a 70%, 64%, and 83% on her first three tests. Her former average would be

(70 + 64 + 83) 217/3 = 72.3℅

Let x represent the score that she needs to get on her 4th test if she wants to get a final average of 75%.

Therefore,

(x + 217)/4 = 75

Cross multiplying by 4, it becomes

x + 217 = 300

x = 300 - 217

x = 83%

natta225 [31]3 years ago
6 0

We set up the equation (70+64+83+x)/4=75

Multiply by 4 on both sides: 70+64+83+x=300

Combine like terms on left side: 217+x=300

Subtract 217 from both sides: x=83

So Sara must get at least an 83% in order to maintain a final average of 75%

Hope this helped!

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