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A student recieved scores of 62, 75, and 77 on three quizzes. If tests count twice as much as quizzes, what is the lowest score that the student can get on the next test to achieve a mean of at least 70?

math algebra
 Aug 24, 2014

Best Answer 

 #1
avatar+118723 
+10

A test is like 2 quizzes Test = Q+Q =2Q

so

$$\begin{array}{rll}
\frac{62+75+77+2Q}{5} &\ge& 70\\\\
\frac{214+2Q}{5} &\ge& 70\\\\
214+2Q &\ge& 350\\\\
214-214+2Q &\ge& 350-214\\\\
2Q &\ge& 136\\\\
Q &\ge& 68\\\\

\end{array}$$

The student needs to get at least 68 in the next test  

 Aug 24, 2014
 #1
avatar+118723 
+10
Best Answer

A test is like 2 quizzes Test = Q+Q =2Q

so

$$\begin{array}{rll}
\frac{62+75+77+2Q}{5} &\ge& 70\\\\
\frac{214+2Q}{5} &\ge& 70\\\\
214+2Q &\ge& 350\\\\
214-214+2Q &\ge& 350-214\\\\
2Q &\ge& 136\\\\
Q &\ge& 68\\\\

\end{array}$$

The student needs to get at least 68 in the next test  

Melody Aug 24, 2014

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