In a recent survey, 88% of shoppers at a grocery store said they would be interested in a rewards program. If there were 450 shoppers surveyed, which proportion can be used to find the number who are interested in a rewards program?

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given the statement:

In a recent survey, 88% of shoppers at a grocery store said they would be interested in a rewards program.

Determine how many are interested if there were 450 shoppers.

Solution:

In order to determine how many are interested, we simply needed to multiply the decimal value of 88% by the number of shoppers. 
In converting a percentage into a decimal, divide the percentage by 100, hence in converting a decimal to percentage, multiply the percentage by 100.

= 88/100

= 0.88

= (0.88)(450)

= 396

Final answer:

396 shoppers were interested.