Each suitcase is 14 1/6

Question

inches 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

Yes, the height of all the suitcases is 48 2/3
inches.
Yes, the height of all the suitcases is 48 and 2 thirds inches.

No, the height of all the suitcases is 56 2/3
inches.
No, the height of all the suitcases is 56 2/3
inches.

No, the height of all the suitcases is 56 5/6
inches.
No, the height of all the suitcases is 56 5/6
inches.

No, the height of all the suitcases is 52 2/3
inches.

Answer 1

To determine if all four suitcases can fit in the trunk, we first need to calculate the total height of the suitcases when stacked.

Each suitcase is 14 1/6 inches tall.

To find the total height of four suitcases stacked on top of each other, we calculate:

\[ 4 \times 14 \frac{1}{6} = 4 \times \left( 14 + \frac{1}{6} \right) = 4 \times 14 + 4 \times \frac{1}{6} \]

Calculating each part:

1. \(4 \times 14 = 56\)
2. \(4 \times \frac{1}{6} = \frac{4}{6} = \frac{2}{3}\)

Now add these results together:

\[ 56 + \frac{2}{3} = 56 \frac{2}{3} \]

Now we compare this total height to the height of the trunk, which is 50 inches.

Since 56 2/3 inches is greater than 50 inches, the answer is:

No, the height of all the suitcases is 56 2/3 inches.