# Help with Word Problem

• kyphysics
In summary: Then use the third sentence to get more equations. Once you have the same number of equations as unknowns, you can solve for the unknowns.In summary, Jack has 81 marbles, Chris has 27 marbles, and Amy has 54 marbles.

## Homework Statement

Jack has three times as many marbles as Chris. Chris has 2/3 as many marbles as Amy. Amy has 27 marbles. How many marbles does Jack have?

## The Attempt at a Solution

Jack = 3x
Chris = 2/3(27)

3x = 2/3(27)

This this equation above correct for representing this word problem?

kyphysics said:
This this equation above correct for representing this word problem?
No, but you're almost there.

Try solving for x, and see what you get for Jack, Chris and Amy. You'll find Jack's is not 3x Chris'.

Use Chris as the common variable, since he's compared to both Jack and Amy:
Chris = x
Jack = ?x
Amy = ?x

DaveC426913 said:
Use Chris as the common variable, since he's compared to both Jack and Amy.

Chris = x
Jack = ?x
Amy = ?x
This naming scheme might be a little confusing, as you will get (or should get) numbers for Chris, Jack, and Amy, and there's no indication that you really mean how many marbles each of them has. Instead of using their names, I would do this:

Let C = # of marbles Chris has
Let J = # of marbles Jack has
Let A = # of marbles Amy has
kyphysics said:
Jack has three times as many marbles as Chris. Chris has 2/3 as many marbles as Amy. Amy has 27 marbles. How many marbles does Jack have?
Use the first two sentences above to get relationships between C, J,and A.