(score for question 3: _ of 16 points)
3. mr. sanchez's class sold fruit pies for $1.55 each and mr. kelly's class sold bottles of fruit juice for $1.40
each. together, the classes sold 60 items and earned $88.20 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?

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:

From the first equation:

Substitute it into the second equation:

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:

Mr. Kellyz's calss earned:

Since Mr. Kelly's class earned more.

c) Mr. Kelly's classs earned   more than Mr. Sanchez's class.