Answer:
a) Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.
b) Mr. Kelly's class
c) Mr. Kelly's classs earned  $1.40 more than Mr. Sanchez's class.
Step-by-step explanation:
Let x be the number of fruit pies sold and y be the number of bottles of fruit juice sold.
Together, the classes sold 60 items, so
x + y = 60
Mr. Sanchez’s class sold fruit pies for $1.55 each, so x fruit pies cost $1.55x.
Mr. Kelly’s class sold bottles of fruit juice for $1.40 each, so y bottles of fruit juice cost $1.40y.
Together, the classes  earned $88.20 for their school, so
1.55x + 1.40y = 88.20.
a) You get the system of two equations:
[tex]\left\{\begin{array}{l}x+y=60\\ \\1.55x+1.40y=88.20\end{array}\right.[/tex]
From the first equation:
[tex]x=60-y[/tex]
Substitute it into the second equation:
[tex]1.55(60-y)+1.4y=88.2\\ \\155(60-y)+140y=8,820\\ \\9,300-155y+140y=8,820\\ \\-15y=8,820-9,300\\ \\-15y=-480\\ \\15y=480\\ \\y=32\\ \\x=60-32=28[/tex]
Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.
b) Mr. Sanchez's calss earned:
[tex]\$1.55\cdot 28=\$43.40[/tex]
Mr. Kellyz's calss earned:
[tex]\$1.40\cdot 32=\$44.80[/tex]
Since [tex]\$44.80>\$43.40,[/tex] Mr. Kelly's class earned more.
c) Mr. Kelly's classs earned  [tex]\$44.80-\$43.40=\$1.40[/tex] more than Mr. Sanchez's class.
