Elmer has taken n tests. If he receives 73 on the next test, his average will be exactly 83. If he receives 99, then the average will be exactly 87. What does n equal?

Guest May 9, 2020

#1**0 **

It seems to work for n = 5 tests before the last. But the average of 87 comes out as 87 1/3 !! Did you make a mistake somewhere in the question?

Guest May 9, 2020

#2**+2 **

"*Elmer has taken n tests. If he receives 73 on the next test, his average will be exactly 83. If he receives 99, then the average will be exactly 87. What does n equal?*"

(x + 73)/(n + 1) = 83 ...(1)

(x + 99)/(n + 1) = 87 ...(2)

Rewrite (1) as x + 73 = 83*(n + 1) ...(3)

and (2) as x + 99 = 87*(n + 1) ...(4)

Subtract (3) from (4): 26 = 4n + 4 so n = 5.5 Elmer took 5.5 tests??????

Alan May 9, 2020