Answer :
To find out how much Maria needs to score on her last test to achieve an average of 82 for the quarter, follow these steps:
1. Understand the Goal: Maria wants her average score across four tests to be 82.
2. Identify Current Scores: Maria's scores on her first three tests are 72, 97, and 82.
3. Calculate the Required Total Score: Since Maria wants an average score of 82 over four tests, you first need to calculate the total score required for all four tests. Multiply the desired average (82) by the number of tests (4):
[tex]\[
82 \times 4 = 328
\][/tex]
So, Maria needs a total score of 328 across all four tests.
4. Calculate the Sum of the First Three Scores: Add up the scores from Maria's first three tests:
[tex]\[
72 + 97 + 82 = 251
\][/tex]
5. Find the Required Score on the Last Test: Subtract the sum of the first three tests from the total score needed:
[tex]\[
328 - 251 = 77
\][/tex]
Therefore, Maria needs to score 77 on her last test to have an average score of 82 for the quarter.
1. Understand the Goal: Maria wants her average score across four tests to be 82.
2. Identify Current Scores: Maria's scores on her first three tests are 72, 97, and 82.
3. Calculate the Required Total Score: Since Maria wants an average score of 82 over four tests, you first need to calculate the total score required for all four tests. Multiply the desired average (82) by the number of tests (4):
[tex]\[
82 \times 4 = 328
\][/tex]
So, Maria needs a total score of 328 across all four tests.
4. Calculate the Sum of the First Three Scores: Add up the scores from Maria's first three tests:
[tex]\[
72 + 97 + 82 = 251
\][/tex]
5. Find the Required Score on the Last Test: Subtract the sum of the first three tests from the total score needed:
[tex]\[
328 - 251 = 77
\][/tex]
Therefore, Maria needs to score 77 on her last test to have an average score of 82 for the quarter.
