Question

For a fundraiser, car magnets cost $6 each, and bumper stickers cost $2 each. The club sold 82 items and made a profit of $284. Let x = the number of magnets and y = the number of stickers. How many of each item did they sell?

Answer 1

x+y=82

6x+2y=284

x=82-y

6(82-y)+2y=284

492-6y+2y=284

492-4y=284

-4y=-208

4y=208

y=52

x+52=82

x=30\

Answer 2

30 Magnets and 52 Bumper Stickers

Explanation:

x+y=82

6x+2y=284

x=82-y

6(82-y)+2y=284

492-6y+2y=284

492-4y=284

-4y=-208

4y=208

y=52

x+52=82

x=30

Hope this helps!