Question

Your school club has a bake sale to raise money. Your club offers muffins for $.50 each and bagels for $.75 each. In one hour you raise $21 by selling 34 items. How many muffins did you sell?

Answer 1

18 muffins

Explanation:

From the information given, you can write the following equations:

x+y=34 (1)

0.50x+0.75y=21 (2)

where x is the number of muffins and y is the number of bagels.

First, you can isolate x in (1):

x=34-y (3)

Then, you can replace (3) in (2):

0.50(34-y)+0.75y=21

17-0.5y+0.75y=21

0.25y=21-17

0.25y=4

y=4/0.25

y=16

Now you can replace the value of "y" in (3):

x=34-16

x=18

According to this, the answer is that you sold 18 muffins.