## Marbles Problem

## Work Time

# Marbles Problem

A collection of 20 marbles weighs 30 ounces. Each marble in the collection weighs the same amount.

How much does a collection of 36 marbles weigh? (Assume that each marble in the new collection weighs the same as each marble in the 20-marble collection.)

Solve the problem three different ways: Karen’s method, Jack’s method, and Lucy’s method.

## Hint:

- How can you set up the problem as a proportion?
- How can you find the weight of one marble? What would you call that weight?
- The formula for a proportional relationship is of the form

*y*=*kx*, where*k*is the constant of proportionality. How can you find*k*? - What are the two variables in this problem?