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

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.

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 52 2/3
inches

Answer 1

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

Each suitcase is 14 1/6 inches tall. Therefore, the total height of all four suitcases is:

\[ 4 \times \left( 14 \frac{1}{6} \right) = 4 \times \left( \frac{14 \times 6 + 1}{6} \right) = 4 \times \left( \frac{84 + 1}{6} \right) = 4 \times \left( \frac{85}{6} \right) = \frac{340}{6} = 56 \frac{2}{3} \text{ inches} \]

Now, let's compare this total height with the trunk height:

• Total height of suitcases: 56 2/3 inches
• Height of trunk: 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.