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Mrs. Roger’s class sold bottles of soda for $2.50 each and Mrs. Magoo’s class sold candy bars for $1.20 each. Together, the classes sold 63 items and earned $102.90 for their school.

(a) Write and solve a system of equations that model the problem. Show all your work.
(b) Which class earned more money?
(c) How much more money did that class earn?

Respuesta :

adioabiola

The equation that can be used to represent the situation is

x + y = 63

x + y = 632.50x + 1.20y = 102.90

How to write and solve equation

Cost of soda = $2.50

Cost of candy = $1.20

Total cost = $102.90

Total number = 63

let

  • x = soda
  • y = candy

The equation

x + y = 63

2.50x + 1.20y = 102.90

from (1)

x = 63 - y

  • substitute into (2)

2.50x + 1.20y = 102.90

2.50(63 - y) + 1.20y = 102.90

157.5 - 2.50y + 1.20y = 102.90

- 2.50y + 1.20y = 102.90 - 157.5

- 1.3y = -54.6

y = -54.6/-1.3

y = $42

  • Substitute y = 42 into (1)

x + y = 63

x + 42 = 63

x = 63 - 42

x = $21

y - x

= 42 - 21

= $21

Therefore, Mrs Rogers class earned more with $21

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