A local charity held a crafts fair selling donated, handmade items. Total proceeds from the were $1,380. A total of 72 items were sold, some at $15 each and the rest at $25 each. Let x be the number of $15 items and y the number of $25 items. How many items sold $25?

Question

Mathematics

Nelson

11 January, 05:14

A local charity held a crafts fair selling donated, handmade items. Total proceeds from the were $1,380. A total of 72 items were sold, some at $15 each and the rest at $25 each. Let x be the number of $15 items and y the number of $25 items. How many items sold $25?

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Answers (1)

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Kamari Schroeder · Answer 1

We are given that X+Y=72 and $15X+$25Y=$1380.

Solve for one variable by expressing it in terms of the other. Let's solve for Y (yes we could solve for X but it's arbitrary).

Use first equation, x+y=72. Therefore x=72-y. Let's plug (72-y) into second equation everywhere x appears.

15 (72-y) + 25y = 1380. Now solve for y:

1080-15y+25y=1380. 10y=300. y=30. If x+y=72, then x=72-30 or x=42.

Let's check it. X+y=72. 42+30=72. Right answer!