MATH SOLVE

4 months ago

Q:
# ⦁ Mr. Sanchez’s class sold fruit pies for $1.85 each and Mr. Kelly’s class sold bottles of fruit juice for $1.25 each. Together, the classes sold 79 items and earned $127.55 for their school.

Accepted Solution

A:

Given:

Mr. Sanchez's class: Fruit pies for $1.85

Mr. Kelly's class: Bottle of fruit juice for $1.25 each

Sold 79 items and earned 127.55

We need to solve for the number of fruit pies and number of bottles of fruit juice sold.

Let x represent the fruit pies.

Let y represent the bottles of fruit juice.

1st equation: x + y = 79

2nd equation: 1.85x + 1.25y = 127.55

Let us first solve for the value of x:

x + y = 79

x = 79 - y

Let us substitute the value of x to the 2nd equation.

1.85(79 - y) + 1.25y = 127.55

146.15 - 1.85y + 1.25y = 127.55

-1.85y + 1.25y = 127.55 - 146.15

-0.60y = -18.6

-0.60y / -0.60 = -18.6 / -0.60

y = 31

Since y represents the number of bottles of fruit juices this means that the Mr. Kelly's class sold 31 bottles of fruit juices.

Let us now substitute the value of y to get the value of x in the 1st equation.

x = 79 - 31

x = 48

Since x represents the number of pies sold this means that Mr. Sanchez's class sold 48 fruit pies.

Total sales:

Fruit pies: 48 * 1.85 = 88.8

bottles of fruit juice: 31 * 1.25 = 38.75

Mr. Sanchez's class sold 48 fruit pies and had a sales revenue of $88.80

Mr. Kelly's class sold 31 bottles of fruit juice and had a sales revenue of $38.75

All for a total of 79 items sold at a sales revenue of $127.55

Mr. Sanchez's class earnings is greater than Mr. Kelly's class earning by $50.05

Mr. Sanchez's class: Fruit pies for $1.85

Mr. Kelly's class: Bottle of fruit juice for $1.25 each

Sold 79 items and earned 127.55

We need to solve for the number of fruit pies and number of bottles of fruit juice sold.

Let x represent the fruit pies.

Let y represent the bottles of fruit juice.

1st equation: x + y = 79

2nd equation: 1.85x + 1.25y = 127.55

Let us first solve for the value of x:

x + y = 79

x = 79 - y

Let us substitute the value of x to the 2nd equation.

1.85(79 - y) + 1.25y = 127.55

146.15 - 1.85y + 1.25y = 127.55

-1.85y + 1.25y = 127.55 - 146.15

-0.60y = -18.6

-0.60y / -0.60 = -18.6 / -0.60

y = 31

Since y represents the number of bottles of fruit juices this means that the Mr. Kelly's class sold 31 bottles of fruit juices.

Let us now substitute the value of y to get the value of x in the 1st equation.

x = 79 - 31

x = 48

Since x represents the number of pies sold this means that Mr. Sanchez's class sold 48 fruit pies.

Total sales:

Fruit pies: 48 * 1.85 = 88.8

bottles of fruit juice: 31 * 1.25 = 38.75

Mr. Sanchez's class sold 48 fruit pies and had a sales revenue of $88.80

Mr. Kelly's class sold 31 bottles of fruit juice and had a sales revenue of $38.75

All for a total of 79 items sold at a sales revenue of $127.55

Mr. Sanchez's class earnings is greater than Mr. Kelly's class earning by $50.05