Wendy noticed that out of 420 vehicles that drove by her house, 56 were SUVs. How many SUVs can Wendy expect if 2,100 vehicles drive by her house?

Mathematics · Middle School · Sun Jan 24 2021

Answered on

Given the statement:

Wendy noticed that out of 420 vehicles that drove by her house, 56 were SUVs. 

Determine how many SUVs can Wendy expect if 2,100 vehicles drive by her house.

Solution:

Find first the percentage of SUV's that passed by her house. To do so divide 56 by 420.

= 56/420

= 0.13333…

Since we are given a decimal answer, in order to convert it into percentage, we multiply the decimal by 100. Hence, in converting a percentage into decimal, we divide the percentage by 100.

= (0.13333)(100)

= 13.33%

13.33% of the vehicles that passed by her house are SUVs, hence we multiply 0.1333 by 2100 to determine the number of SUVs.

= (0.13333…)(2100)

=280

FInal answer:

= 280 SUVs