Question

A store is designing the space for rows of nested shopping carts. Each row has a starting cart that is 4 feet long, followed by the nested carts (so 0 nested carts means there's just the starting cart). The store measured a row of 13 nested carts to be 23.5 feet long, and a row of 18 nested carts to be 31 feet long.
How much does each nested cart add to the length of the row?

Answer 1

Answer:

Each nested carts is of the length of 1.5 feet.

Step-by-step explanation:

Each row has a starting cart that is 4 feet long, and the nested carts are next to it.  

It is measured that a row of 13 nested carts has a length of 23.5 feet.

Therefore, the original length of 13 nested carts is (23.5 - 4) = 19.5 feet.

So, each nested cart add to the length of the row, $\frac{19.5}{13} = 1.5$ feet.

Again, a row of 18 nested carts to be 31 feet long.

Therefore, the actual added length of 18 nested carts is (31 - 4) = 27 feet.

So, each nested cart add to the length of the row, $\frac{27}{18} = 1.5$ feet.

So, each nested carts is of the length of 1.5 feet. (Answer)