The school made $2,800 on the school carnival. The second and fifth grade classes each made only $200. The kindergarten and fourth grade classes each made double the second grade's amount. The first and third grades made the same amount of money. How much did each grade level make?

Mathematics · Middle School · Wed Jan 13 2021

Answered on

We are given

 the total earnings of the school, $2800

 2nd grade = $200

 5th grade = $200

 kindergarten = 2 * $200 = $400

 4th grade = 2 * $200 = $400 

1st grade = 3rd grade = x  

The amount which is left for us to determine is the earnings of the first and third grade. This can be determined by equating all earnings to the total school earnings and let 1st and 3rd grade be the variable x

 $2800 = $200 + $200 + $400 + $400 + x + x 

$2800 = $1200 + 2x 

$1600 = 2x 

x = $800

Therefore, 1st grade and 3rd grade earned $800 each