Nate has scores of 85, 91, 89, and 93 on four tests. What is the least number of points he can get on the fifth test to have an average of at least 90?

Question

2742 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-13T18:53:36

#92#

Let #x# stand for the number of points on the fifth test.

Then his average score will be:

#(85+91+89+93+x)/5 = (358+x)/5#

We want this to satisfy:

#(358+x)/5 >= 90#

Multiply both sides by #5# to get:

#358+x >= 450#

Subtract #358# from both sides to get:

#x >= 92#

So Nate needs at least #92# points.