24,381 views
15 votes
15 votes
Angela’s average for six math tests is 87. on her first four tests she had scores of 93, 87, 82, and 86. on her last tests she scored 4 points lower than she did on her fifth test what scores did Angela receive on her firth and sixth tests?

User Parth Dave
by
2.7k points

1 Answer

11 votes
11 votes

Answer:

the scores on her last test is x (x > 0)

because on her last tests she scored 4 points lower than she did on her fifth test

=> the scores in the 5th test is x + 4

because Angela’s average for six math tests is 87, we have:


(93 + 87 + 82 + 86 + x + x + 4)/(6) = 87 \\ \\ < = > (352 + 2x)/(6) = 87 \\ \\ < = > 352 + 2x = 522 \\ \\ < = > 2x = 170 \\ \\ < = > x = 85

=> on her last test, she had 85

=> on her 5th test, she had 85 + 4 = 89

User Hovanes Mosoyan
by
2.6k points