Answer:
89
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 = (77 + 80 + x)/(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/t48z0jy76jlmdnji06rmyw34ahto5jt8eq.png)
![82 = (157 + x)/(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/fekjxj47h7ykrewch3aouv8jlpudr2k6ui.png)
Multiply 3 by both sides
![82*3 = (157 + x)/(3)*3](https://img.qammunity.org/2021/formulas/mathematics/high-school/7cra9etixvcr2las4ldpi2qggyd1glj2y6.png)
![246 = 157 + x](https://img.qammunity.org/2021/formulas/mathematics/high-school/9pqj4u9q9r08mcvq7il8wli73nmxusmi6u.png)
Subtract 157 from each side of the equation
![246 - 157 = 157 + x - 157](https://img.qammunity.org/2021/formulas/mathematics/high-school/l3nwgbvrh75aalqxnahe2urqwp7l5f5gql.png)
![89 = x](https://img.qammunity.org/2021/formulas/mathematics/high-school/xnk5hy3n726efnqjmrorce2a0h8r6rw5ql.png)
Wendy must score 89 on her third test to have an average of 82.