Question

Wendy has taken two tests with scores of 77 and 80. To get an 82
average, what must her grade be on the third test?
Please help

Answer 1

Answer:

89

Step-by-step explanation:

Given that Wendy took 2 tests and scored, 77 and 80 respectively, let x represent the grade of Wendy's third test.

To get an average grade of 82, let's generate an equation to find x (Wendy's grade on her third test).

Average grade = sum of all 3 grades all over 3

$82 = \frac{77 + 80 + x}{3}$

$82 = \frac{157 + x}{3}$

Multiply 3 by both sides

$82*3 = \frac{157 + x}{3}*3$

$246 = 157 + x$

Subtract 157 from each side of the equation

$246 - 157 = 157 + x - 157$

$89 = x$

Wendy must score 89 on her third test to have an average of 82.