⦁ 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.
Question
Answer:
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
solved
general
10 months ago
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