3. Mrs. Garcia's class sold bottles of lemonade for $1.36 each and Mr. Runner's class sold protein bars for $1.65 each. Together, the classes sold 79 items and earned $118.17 for their school. (a) Write and solve a system of equations that model the problem. Show all your work (4 pts) (b) Which class sold more items? Please identify the amount of items each class sold, then your answer to the question below. (2 pts) (c) Which class earned more money? Please show ALL steps of work and identify the amount of money each class sold along with the answer below. (2 pts)​

The difference made was $84.96 - $55.44 = $29.52

Step-by-step explanation: Equations are x + y = 90, 1.32x + 1.77y = 140.40, where x is number of fruit pies sold and y is the number of fruit juices sold. x= $1.32, y = $1.77.        

B) Mr. Kelly's class earned more money.                                  

C) Mr. Kelly's class made $29.52 more.

Step-by-step explanation:

Step 1; Assume x is the amount of fruit pies sold and y is the amount of fruit juices sold. It is given that both the classes sold 90 items in total. so

x + y = 90, take this as equation 1.

It is also given they both earned $140.40 out of which fruit pies sold for $1.32 each and fruit juice sold for $1.77 each. So,

1.32x + 1.77y = 140.40, take this as equation 2.

Step 2; Now we solve these equations.

Equation 1 can also be, y = 90 - x, take this as equation 3.

Substitute equation 3 in 2,

1.32x + 1.77(90 - x) = 140.40,

1.32x + 159.3 - 1.77x = 140.44

Taking the known values to the right and keeping the unknown x values on the left, we get

1.32x -1.77x = 140.44 - 159.3

-0.45x = -18.9

Since both sides are negative,

0.45x = 18.9, x = 42

Substitute this is equation 1,

x + y = 90, y = 90 - x, y = 90 - 42 = 48.

So Mr. Sanchez’s class sold 42 fruit pies for $1.32 each and Mr. Kelly’s class sold 48 bottles of fruit juice for $1.77 each.

Money made

Mr. Sanchez's class ; 42 × $1.32 = $55.44

Mr. Kelly's class ; 48 × $1.77 = $84.96.

The difference made was $84.96 - $55.44 = $29.52