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Andrew has ta...

Question

Andrew has taken $5$ of the $8$ equally weighted tests in his U.S. Maths class this semester, and he has an average score of exactly $78.0$ points. How many points does he need to earn on the $6^{t h}$ test to bring his average score up to exactly $80.0$ points?

90

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88

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82

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80

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Solution

The correct option is A $90$
Let the sum of points in the first $5$ tests be $x$
Hence, $\frac{x}{5} = 78$ or $x = 390$
Now let the required score in the $6^{t h}$ test be $y$ .
Hence, $\frac{x + y}{6} = 80$
$\Rightarrow x + y = 480$
$\Rightarrow 390 + y = 480$
$\Rightarrow y = 90$

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Andrew has taken 5 of the 8 equally weighted tests in his U.S. Maths class this semester, and he has an average score of exactly 78.0 points. How many points does he need to earn on the 6th test to bring his average score up to exactly 80.0 points?

The correct option is A 90Let the sum of points in the first 5 tests be x Hence, x5=78 or x=390Now let the required score in the 6th test be y. Hence, x+y6=80 ⇒x+y=480⇒390+y=480 ⇒y=90

Andrew has taken $5$ of the $8$ equally weighted tests in his U.S. Maths class this semester, and he has an average score of exactly $78.0$ points. How many points does he need to earn on the $6^{t h}$ test to bring his average score up to exactly $80.0$ points?

The correct option is A $90$
Let the sum of points in the first $5$ tests be $x$
Hence, $\frac{x}{5} = 78$ or $x = 390$
Now let the required score in the $6^{t h}$ test be $y$ .
Hence, $\frac{x + y}{6} = 80$
$\Rightarrow x + y = 480$
$\Rightarrow 390 + y = 480$
$\Rightarrow y = 90$