Question

You and your friends have packed four suitcases for the trip. The weights of the suitcases are 24 1/2 lb, 13 3/8 lb, 31/2 lb, and 17
3/4 lb
. What is the total weight of all the luggage?(2 points)
Responses

85 1/8 lb


588/8 lb


71 1/8 lb

69 3/8 lb

Answer 1

a b c or d

Answer 2

To find the total weight of all the suitcases, we need to add the weights together. Here are the weights of the suitcases:

1. \( 24 \frac{1}{2} \) lb
2. \( 13 \frac{3}{8} \) lb
3. \( 3 \frac{1}{2} \) lb
4. \( 17 \frac{3}{4} \) lb

Let's convert all the fractions to a common denominator (which is 8 in this case) to make the addition easier.

1. \( 24 \frac{1}{2} = 24 \frac{4}{8} = \frac{192}{8} + \frac{4}{8} = \frac{196}{8} \) lb
2. \( 13 \frac{3}{8} = \frac{104}{8} + \frac{3}{8} = \frac{107}{8} \) lb
3. \( 3 \frac{1}{2} = 3 \frac{4}{8} = \frac{24}{8} + \frac{4}{8} = \frac{28}{8} \) lb
4. \( 17 \frac{3}{4} = 17 \frac{6}{8} = \frac{136}{8} + \frac{6}{8} = \frac{142}{8} \) lb

Now let's add them all together:

\[
\frac{196}{8} + \frac{107}{8} + \frac{28}{8} + \frac{142}{8} = \frac{196 + 107 + 28 + 142}{8} = \frac{473}{8}
\]

To convert \(\frac{473}{8}\) to a mixed number:

\[
473 \div 8 = 59 \quad \text{(whole number)}
\]
\[
473 - (59 \times 8) = 1 \quad \text{(remainder)}
\]
So,

\(\frac{473}{8} = 59 \frac{1}{8}\) lb or 59.125 lb.

Looking at the available options, it looks like the total is not represented directly. The closest written answer can be expressed as \( 59 \frac{1}{8} \). None of the provided responses are equivalent to this amount, please check the given data or options. However, if we consider the options better, it appears that there may have been confusion in available response setups, but based on our calculations, it should be approximately \(59.125\) lb.

Answer 3

Let's recap the total weight of the suitcases again:

1. \( 24 \frac{1}{2} \) lb = \( 24.5 \) lb
2. \( 13 \frac{3}{8} \) lb = \( 13.375 \) lb
3. \( 3 \frac{1}{2} \) lb = \( 3.5 \) lb
4. \( 17 \frac{3}{4} \) lb = \( 17.75 \) lb

Now we will add these weights together:

\[
24.5 + 13.375 + 3.5 + 17.75
\]

Calculating this step-by-step:

1. \( 24.5 + 13.375 = 37.875 \)
2. \( 37.875 + 3.5 = 41.375 \)
3. \( 41.375 + 17.75 = 59.125 \)

Now to convert \( 59.125 \) into a fraction:
\[
59.125 = 59 \frac{1}{8}
\]

Now let's compare this with the provided options:

1. **85 1/8 lb**
2. **588/8 lb** (which is 73.5 lb)
3. **71 1/8 lb**
4. **69 3/8 lb**

Since \( 59 \frac{1}{8} \) lb (which simplifies to \( 473/8 \) lb) is not among the options listed, please confirm the weights you've provided. Based on my calculations, **none of the answer choices match the total weight** of the suitcases correctly based on your original question. However, the closest whole number representation may suggest need for validation in either options or figures.

Given this, you might consider a recheck in the weights or check the options provided for matches in problem scenarios.