Question

Can someone PLEASE break this problem down for me? It's part of my "solving an application problem with one unknown quantity" lesson.

Paige bought 5 bags of candy for holloween. On halloween 64 children visited her home and she gave each child 3 pieces of candy. At the end of the night she still had one bag of candy. How many pieces of candy were in each bag?

Answer 1

3 pieces of candy per child, at 64 children means she gave away (3/kid)(64 kids) = 64*3 candies.

192 candies were given away, but remember that was only 4 out of 5 bags, as there was 1 bag remaining.

So 192 candies from 4 bags is how much candies per bag?

Answer 2

Let P represent the number of pieces of candy per bag.

5*P represents the number of pieces of candy in 5 bags

64 kids took 64*3 pieces of candy

1 bag of candy or 1*P was left over.

Equation:

5*P = 64*3 + 1*P

4*P = 64*3

P = (64*3) / 4

P = 16*3 = 48 pieces of candy per bag

Check this work

@mica11ela06