Question

Each suitcase is%C2%A0 14%C2%A016 %C2%A0inches tall. Your plan is to stack all four suitcases on top of one another in your trunk. If your trunk is only 50 inches high, will you have enough room?(2 points) Responses No, the height of all the suitcases is%C2%A056%C2%A056 inches. No, the height of all the suitcases is%C2%A056%C2%A056 inches. No, the height of all the suitcases is%C2%A056%C2%A023 inches. No, the height of all the suitcases is%C2%A056%C2%A023 inches. Yes, the height of all the suitcases is%C2%A04823 inches. Yes, the height of all the suitcases is%C2%A048 and 2 thirds inches. No, the height of all the suitcases is%C2%A052%C2%A023 inches.

Answer 1

To determine if all four suitcases will fit in the trunk, we first need to calculate the total height of the suitcases when they are stacked on top of each other.

Each suitcase is 14 and 16 inches tall. To find the total height of all four suitcases, we can use the following steps:

1. **Convert the height of one suitcase into an improper fraction**:
- 14 and 16 inches can be interpreted as 14 + 16/16. This equals \( \frac{14 \times 16 + 16}{16} = \frac{224 + 16}{16} = \frac{240}{16} = 15\).

2. **Calculate the total height for four suitcases**:
- Height of one suitcase = \( 14 + \frac{16}{16} = 15 \) inches.
- Height for four suitcases = \( 4 \times 15 = 60 \) inches.

Now we can compare the total height of the suitcases with the height of the trunk:

- **Height of the trunk**: 50 inches
- **Total height of four suitcases**: 60 inches

Since 60 inches (total height of the suitcases) is greater than 50 inches (trunk height), you **will not have enough room**.

**Conclusion**: The correct response is: **No, the height of all the suitcases is 60 inches.**