You are a teacher and are grading a test. A student got 42 out 58 points.

Question

a) What is the student's grade as a percentage? Round to the nearest whole percent.

b) Is the answer an estimate or calculation?

Answer 1

You need to divide 58 into 42.00 andget a percentage.  The answer should be an estimate, unless it comes out even.

Answer 2

42/58 = x/100 (as percentage is "out of 100")

We can simplify/factor out a 2:

21 * 2 / 29 * 2 = x/100

21/29 = x/100

 

multiply both sides by 100:

21 * 100 / 29 = x

2100 / 29 = x

72.41 ≈ x

The student got about 72%.

Since the number did not come out with 0 remainder, it's an estimate.

 

Answer 3

A percent is a number out of 100.  We can set a proportion.

 

 

42 / 58 = x / 100

 

where x is the percent.

 

 

Multiply both sides of the equation by 100.

 

100 * (42 / 58) = x

 

72.4 = x

 

 

Round this to the nearest integer.

 

The student received 72 percent.

 

 

 

This answer was a calculation.