Question

Mr's Rodman's class sold candy bras for $1.25 each and Mr's Powell's class sold water bottles for $0.75 each to raise for the math department. Together, they sold 92 items and made $87.50 for the math department

A. write and solve a system of equations that models the problem. show any work that is required.
B. Which class earned more money? hence how much more money did they earn?
C. which class sold more items

Answer 1

The equation system is

1.25x+0.75 (92-x)=87.5

Solve for x

1.25x+69-0.75x=87.5

0.5x+69=87.5

0.5x=87.5-69

0.5x=18.5

X=18.5÷0.5

X=37 units of candy bras

(92-37)=55 units of water bottles

Mr's Powell's class sold more items

Let's look which class earned more

Mr's Powell's class earned

55×0.75=41.25

Mr's Rodman's class earned

37×1.25=46.25

So from above

Mr's Rodman's class earned more

Hope it helps!