Question

Out of 65 tests, how many can you fail and still pass with a 70 overall average

Answer 1

Answer: 50 tests (0r 45.5 tests if you can pass half a test)

Explanation:

We will set up an equation to help us solve. Let x be the number of tests you fail. In terms of a grade, they are usually written as a percentage, so we will assume that by 70 you mean 70%.

Given equation:

`\displaystyle (x)/(65)*100 =70`

Divide both sides of the equation by 100:

`\displaystyle (x)/(65) =0.7`

Multiply both sides of the equation by 65:

`\displaystyle x=45.5`

Since you usually cannot pass half a test, we will round up to 50 tests.