Question

1. peggy’s scores on her french tests are 95, 93, 79, 90, 85, 93, 85. she is hoping for an average of 90 on her report card. what grade must peggy get on her next french test to achieve her goal? a) 85 b) 90 c) 95 d) 100

Explanation:

Step1: Find the sum of existing scores

$95 + 93+79 + 90+85 + 93+85=520$

Step2: Let the score on the next test be $x$. Set up the average - formula

The average of 8 scores (7 existing + 1 new) should be 90. So, $\frac{520 + x}{8}=90$.

Step3: Solve the equation for $x$

Multiply both sides of the equation by 8: $520+x = 90\times8=720$. Then subtract 520 from both sides: $x=720 - 520=200$. But this is wrong. Let's correct. There are 7 existing scores, and we want an average of 90 for 8 scores. The sum of 8 scores with an average of 90 is $90\times8 = 720$. The sum of the 7 existing scores is $95+93 + 79+90+85+93+85=520$. So $x=720 - 520=100$.

Answer:

d) 100