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“A Sticky Gum Problem” POW 4

Problem statement:

The next scenario is very similar. In this one, Ms. Hernandez passed a different gumball machine the next day with three different colors Once again her twins each want a gumball of the same color, and each gumball is still one cent. What is the most amount of money that Ms. Hernandez would have to spend in order to get each of her daughters the same color gumball?

In the last scenario, Mr. Hodges and his triplets pass the same gumball machine that Ms. Hernandez and her twins passed in scenario two. This time, each of Mr. Hodges children wants the same color gumball out of the three-color gumball machine. What is the most amount of money that Mr. Hodges would have to spend on his triplets in order to get them each the same color gumballs?

Process:
In the process of solving the first question I drew up different color gumballs.

These are both the different colored gumballs. If this was the outcome after spending two pennies on two gumballs, then the next gumball would have to be one of the previous color gumballs that already came out of the machine.

For the next scenario it was a little trickier that the first problem. Since there were still only two children involved and there were three colored gumballs it wasn’t too hard. Once again, I drew up the three different colored gumballs in the gumball machine. The gumballs were red, white, and blue.

These colors can be the color of the gumballs that come out of the gumball machine. The last gumball that would come out of the machine would make a set of two of the same color gumballs which would make the overall total of money spent 4 cents.

For the last scenario, there were still only three different color gumballs in the gumball machine. But this time there were three kids. So I drew up another set of possible gumballs that could roll out of...
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