## Mixtures

6-8, 9-12
Standards:
Math Content:
Number and Operations

What happens when two piles of circles—some colored, some not—are combined? What will the percent of colored circles in the final mixture be?

Choose the Mode, and then follow the instructions in red. In Exploration mode, you can experiment with piles of various size and percent colored to see what happens when the piles are combined. In the other modes, you will be asked to solve a specific problem:

• Unknown Percent: A known percent of Pile A is colored. You must determine how many circles in B to color so the combined mixture has a specific percent concentration.
• Unknown Total: A portion of A is colored. You must determine how many circles to add to B as well as how many to color so that a) Pile B has a specific percent concentration and b) the combined mixture has a specific percent concentration.
• Unknown Pile: Similar to Unknown Total, you must add and color circles in Pile B, but it is not required that B has a specific percent concentration.

The Combine! button causes the piles to mix, and you will see the result. The Uncombine button will return you to the two original piles.

The Next Question button clears all your work and displays a new problem. In Exploration mode, this button works like a Reset button, clearing all circles from both piles.

In Exploration mode, add some circles to Pile A and to Pile B. Color some of the circles in each pile, then combine the piles.

• Does the combined pile have a percent concentration that is greater than, less than, or equal to Pile A?
• Does the combined pile have a percent concentration that is greater than, less than, or equal to Pile B?
• What is the possible range of values for the percent concentration of the combined pile?