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.

Write and solve a system of equations that model the problem. Show all your work.

Which class earned more money?

How much more money did that class earn?

Answer:

x + y = 60 and 1.55x + 1.4y = 88.20 and the solution is x = 32 and y = 28.

Mr. Sanchez's class earned more money by $10.4.

Step-by-step explanation:

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.

Let the number of sold fruit pies is x and bottles of fruit juice is y.

So, from the given condition we can write

x + y = 60 ... (1)

⇒ 1.4x + 1.4y = 84 ... (2) and

1.55x + 1.4y = 88.20 ... (3)

Now, solving equations (2) and (3) we get (1.55 - 1.4) y = (88.2 - 84)

⇒ y = 28

And from equation (1) we get x = 60 - 28 = 32.

Therefore, Mr. Sanchez's class earned more money. (Answer)

Now, this class have earned $ (32 * 1.55 - 28 * 1.4) = $10.4 more. (Answer)

-The class that earned more money was Mr. Kelly's class.

-Mr. Kelly's class earned $1.4 more.

Step-by-step explanation:

According to the information given you can write the following equations:

x+y = 60 (1)

1.55x+1.40y = 88.20 (2)

x is the number of fruit pies and y is the number of fruit juice.

You can solve for x in equation (1):

x=60-y (3)

Now, you replace (3) in (2):

1.55 (60-y) + 1.40y=88.20

93-1.55y+1.40y=88.20

-0.15y=-4.8

y=-4.8/-0.15 = 32

Then, you have to replace the value of y in (3):

x = 60-32

x = 28

You have to find the amount of money each class earned:

Mr. Sanchez's class: 1.55*28 = $43.4

Mr. Kelly's class: 1.40*32 = $44.8

$44.8-$43.4 = $1.4