Question

Pretend you got 86% of the questions on a state test correct. The test had 120 problems. How many problems did you get correct?

Answer 1

Answer:103.2

Step-by-step explanation:

lets say that 120 is 100%

We next represent the value we seek with “x”

From step 1, it follows that 100%= 120

x%= 86%

This gives us a pair of simple equations:

100%=120

x%= 86

By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS (left hand side) of both equations have the same unit (%); we have

100%/x% = 120/86

Taking the inverse (or reciprocal) of both sides yields

x%/100% = 86/120

x= 71.67