Answer:
Given:
Cost at which Mr. Sanchez’s class sold fruit pies =$1.55.
Cost at which Mr. Kelly’s class sold bottles of fruit juice= $1.40.
Total items sold by both the class= 60
Total amount earned by both the class= $88.20
Solution:
(a)System of equations that model the problem:
Let the Mr. Sanchez's class sold fruit pies = x
The no. Of bottles of fruit juice sold by Mr. Kelly's class = 60-x
So, according to the question,
![1.55x+(60-x)1.40=88.20](https://tex.z-dn.net/?f=1.55x%2B%2860-x%291.40%3D88.20)
![1.55x+(60)(1.40)-1.40x=88.20](https://tex.z-dn.net/?f=1.55x%2B%2860%29%281.40%29-1.40x%3D88.20)
![1.55x-1.40x+84=88.20](https://tex.z-dn.net/?f=1.55x-1.40x%2B84%3D88.20)
![0.15x+84=88.20](https://tex.z-dn.net/?f=0.15x%2B84%3D88.20)
![0.15x=4.20](https://tex.z-dn.net/?f=0.15x%3D4.20)
![x=\frac{4.20}{0.15}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B4.20%7D%7B0.15%7D)
x=28
(b)To find which class earned more money:
x=28
Thus Number of fruit pies sold by Mr. Sanchez's class = 28
The no. Of bottles of fruit juice sold by Mr. Kelly's class = 60-28 = 32
Total amount earned by Mr. Sanchez's class = 28×1.55 = $43.4
Total amount earned by Mr. Kelly's class = 32×1.4 = $44.8
So Mr. Kelly's class earned more money.
(c) How much more money did that class earn?
Mr. Kelly's class earned $44.8 by selling 32 bottles of fruit juice