Question

My little brother loves the video “hunting game” he got for Christmas. He gets 2 points for capturing a snake, 3 points for capturing a wolf, 4 points for capturing a bear, and an extra point if the bear is a grizzly. On his first try, he scored 13 points. In how many different ways could he have reached that score?

Step 1

We are given that your brother gets 2 points for capturing a snake, 3 points for capturing a wolf, 4 points for capturing a bear and an extra point if the bear is a grizzly. In other words,

Step 2

Let x be the number of snakes, y be the number of wolves, z be the number of bear and w be the number of grizzly bears. So, the total points earned is 2x+3y+4z+5w.

i.e.;...

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