Baldwin keeps his sneaker collection carefully arranged on the floor of his closet. 8 pairs of sneakers fit perfectly side-by-side from one end of the closet to the other. The closet is 60 inches wide.

How wide is each pair of sneakers?
Write your answer as a proper fraction or mixed number.

1 answer

To find the width of each pair of sneakers, we can start by determining the total width occupied by the 8 pairs of sneakers in the closet.

Given that the closet is 60 inches wide and there are 8 pairs of sneakers arranged side-by-side, we can calculate the width of each pair by dividing the total width by the number of pairs:

\[ \text{Width of each pair} = \frac{\text{Total width of the closet}}{\text{Number of pairs}} = \frac{60 \text{ inches}}{8} \]

Now, we can simplify this fraction:

\[ \frac{60}{8} = \frac{60 \div 4}{8 \div 4} = \frac{15}{2} \]

This means that the width of each pair of sneakers is:

\[ \frac{15}{2} \text{ inches} \]

To express this as a mixed number, we can divide 15 by 2, which gives us 7 with a remainder of 1:

\[ \frac{15}{2} = 7 \frac{1}{2} \]

Thus, the width of each pair of sneakers is:

\[ \frac{15}{2} \text{ inches} \quad \text{or} \quad 7 \frac{1}{2} \text{ inches} \]