Question

Caryn Dexter susie and Vinny filled 24 grocery bags with total of 177 cans to bring to the recycling center. Each person had the same number of cans in every one of his or her bags but that number differed from person to person. How many bags did each person fill How many cans were in each of their bags?

Answer 1

To find the number of bags and cans filled by each person, we can set up a system of equations. Solving these equations, we find that each person filled 6 bags and each bag contained 44 cans.

Step-by-step explanation:

To solve this problem, let's assume that each person filled x bags and each bag contained y cans. We are given that the total number of bags filled is 24 and the total number of cans is 177. We can set up a system of equations to find the values of x and y.

1. Equation 1: x + x + x + x = 24 (Since there are 4 people and each person filled the same number of bags)
2. Equation 2: x * y + x * y + x * y + x * y = 177 (Since each person had the same number of cans in every bag)

Now, we can simplify the equations:

1. 4x = 24
2. 4xy = 177

Solving equation 1, we find that x = 6. Substituting this value into equation 2, we can solve for y: 6y = 177/4 = 44.25. Since the number of cans in each bag must be a whole number, we can round 44.25 to the nearest whole number, which is 44. Therefore, each person filled 6 bags and each bag contained 44 cans.