Maria and John are selling candy bars for a fundraiser. Candy bars can be sold in bags or individually. Maria sold 2 bags of candy bars and 10 individual candy bars. John sold 3 bags of candy bars and 6 individual candy bars. If Maria and John each sold the same number of candy bars, how many candy bars were in each bag? show all your work

Answer 1

Let's solve this problem by setting up equations to represent the given information:

Let B be the number of candy bars in each bag.
Let I be the number of individual candy bars sold.

According to the problem, Maria sold 2 bags and 10 individual candy bars, and John sold 3 bags and 6 individual candy bars. We can write the following equations:

2B + 10I = 3B + 6I (Both Maria and John sold the same number of candy bars)
2B - 3B = 6I - 10I
-B = -4I

Now, let's solve for B by isolating it:

-B = -4I
B = 4I

Since B represents the number of candy bars in each bag, we can conclude that there are 4 individual candy bars in each bag.

Therefore, each bag contains 4 candy bars.