Question

Kalino earned 85, 95, 93, and 80 points on the 4 tests, each worth 100 points, given so far this term. How many points must he earn on his fifth test, also worth 100 points, to average 90 points for the 5 tests given this term?

Option 1: 87
Option 2: 88
Option 3: 90
Option 4: 92

Answer 1

Kalino needs to earn 97 points on his fifth test to average 90 points for all 5 tests, as the sum of his current scores plus 97 points equals 450, which is 90 points on average for 5 tests.

Step-by-step explanation:

To find out how many points Kalino must earn on his fifth test to average 90 points, first calculate the total points he needs to hit that average over five tests. For five tests with an average of 90 points each, he would need a total of 5 tests × 90 points/test = 450 points. Summing up the points Kalino has already earned on the four tests gives us 85 + 95 + 93 + 80 = 353 points.

Subtracting the total number of points earned from the total number of points needed gives us the points Kalino must earn on the fifth test: 450 points - 353 points = 97 points.

Therefore, Kalino must score 97 points on the fifth test to average 90 points for all 5 tests, making the correct answer Option 5.