Question

Tanner has four times as many shirts as pants, and he can use them to make 100 different shirt and pants outfits. How many pants does Tanner have?

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Answer 1

Let's assume Tanner has "x" pants.

Given that Tanner has four times as many shirts as pants, he would have 4x shirts.

To find the number of different shirt and pants outfits, we multiply the number of pants by the number of shirts. In this case, it would be x * 4x = 4x^2.

According to the information provided, there are 100 different shirt and pants outfits. So we can set up the equation:

4x^2 = 100

To solve for x, we divide both sides of the equation by 4:

x^2 = 25

Taking the square root of both sides, we get:

x = ±5

Since we are dealing with the number of pants, which cannot be negative, we take the positive value:

x = 5

Therefore, Tanner has 5 pants.