Question

Each row has a starting cart that is 4 feet long, followed by the nested carts. (0 nested carts means there's just the starting cart.) A row of 13 nested carts is 23.5 feet long. A row of 18 nested carts is 31 feet long. If the store design allows for 43 feet for each row, how many total carts fit in a row?

Answer 1

Using the lengths of rows with different numbers of carts, we calculate that one cart adds 1.5 feet to the length of a row. For a row length of 43 feet, this results in a space for 26 nested carts plus the starting cart, totaling 27 carts.

Step-by-step explanation:

To determine how many total carts can fit in a row within the 43 feet allowed by the store design, let's first establish the equation based on the information provided:

• A row with 13 nested carts is 23.5 feet long.
• A row with 18 nested carts is 31 feet long.

Using these two data points, we can calculate the length added by each nested cart:

1. (31 - 23.5) feet for (18 - 13) carts.
2. (7.5 / 5) feet per cart.
3. 1.5 feet per nested cart.

Now that we have the length of each nested cart, we can set up an equation to find out how many carts (n) will fit into the 43 feet:

1. 4 feet for the starting cart + 1.5n = Total length of 43 feet.
2. 1.5n = 43 - 4.
3. 1.5n = 39.
4. n = 39 / 1.5.
5. n = 26 nested carts.

So, a row can have 26 nested carts plus the starting cart. Therefore, the total number of carts that fit in a row is 26 + 1 = 27 carts.