Final answer:
To raise his average to 90%, Barney needs to score 98 on the fifth test.
Step-by-step explanation:
In order to calculate the score that Barney needs on the fifth test to raise his average to 90%, we can use the following equation:
(Total Score/Total Number of Tests) = Average
Since Barney has taken four tests and averages 88%, his total score is 4 * 88 = 352. To find the score he needs on the fifth test, we can rearrange the equation:
(352 + Fifth Test Score)/5 = 90
Solving for the Fifth Test Score, we get:
Fifth Test Score = 450 - 352 = 98