Question

Felix scored 52 and 64 on his first two test in Sociology 212. What must he get on the third test to get an average of the three test above 70?

Answer 1

Felix's third test score must be greater than 94

Explanation:

Felix scores on Sociology 212 tests:

1st test - 52

2nd test - 64

3rd test - x

Find the average of Felix's scores:

`\text{Average}=\frac{\text{The sum of all scores}}{\text{The total number of scores}}\\ \\\text{Average}=(52+64+x)/(3)`

An average of the three test must be above 70, this means

`\text{Average}>70\\ \\(52+64+x)/(3)>70`

Solve this inequality. First, multiply it by 3:

`52+64+x>210\\ \\x>210-52-64\\ \\x>94`