Remember, it is you and three friends on this road trip. Each of you ate 1/3

Question

of a bag of candy. How many total bags of candy did you eat altogether?(2 points)
Responses

1 13
bags
1 13
bags

1 23
bags
1 23
bags

1 34
bags
1 34
bags

13
bags

Answer 1

If you and your three friends (four people in total) each ate \( \frac{1}{3} \) of a bag of candy, then you can calculate the total amount of candy consumed as follows:

\[ \text{Total bags eaten} = 4 \times \frac{1}{3} = \frac{4}{3} \text{ bags} \]

This can also be expressed as:

\[ \frac{4}{3} \text{ bags} = 1 \frac{1}{3} \text{ bags} \]

So the total amount of candy eaten altogether is 1 and \( \frac{1}{3} \) bags.

The correct response from your options is:

1 \( \frac{1}{3} \) bags

Answer 2

A bag of popcorn contains 13 1/3
ounces. Your friend eats 1/4
of the bag. How many ounces did he eat?(2 points)
Responses

4 13
ounces
4 13
ounces

14
ounces
1 fourth ounces

6 23
ounces
6 23
ounces

3 13
ounces

Answer 3

To determine how many ounces your friend ate, you need to calculate \( \frac{1}{4} \) of the total weight of the popcorn, which is \( 13 \frac{1}{3} \) ounces.

First, let's convert \( 13 \frac{1}{3} \) ounces to an improper fraction:

\[ 13 \frac{1}{3} = 13 + \frac{1}{3} = \frac{39}{3} + \frac{1}{3} = \frac{40}{3} \text{ ounces} \]

Now, calculate \( \frac{1}{4} \) of \( \frac{40}{3} \):

\[ \frac{1}{4} \times \frac{40}{3} = \frac{40}{12} = \frac{10}{3} \text{ ounces} \]

Next, convert \( \frac{10}{3} \) back to a mixed number:

\[ \frac{10}{3} = 3 \frac{1}{3} \text{ ounces} \]

Since \( 3 \frac{1}{3} \) isn't listed among your options, let's reevaluate our initial choices.

However, deducing from the given options, the closest and possibly incorrect portrayal of the calculation appears to be 3 \( \frac{1}{3} \) ounces, although it was not included precisely as such in your responses.

Please ensure that the options match properly or provide other possible responses for a more accurate re-evaluation!