A box of Sour Patch Kids has 4/5

Question

of a pound. If each serving contains 1/15
of a pound, how many servings of Sour Patch Kids are available?(1 point)
Responses

7
7

5
5

4
4

12

Answer 1

To find out how many servings of Sour Patch Kids are available in a box weighing \( \frac{4}{5} \) of a pound, with each serving weighing \( \frac{1}{15} \) of a pound, you can divide the total weight of the box by the weight of each serving.

Here's the calculation:

1. Total weight of the box: \( \frac{4}{5} \) pounds
2. Weight of each serving: \( \frac{1}{15} \) pounds

Now, divide the total weight by the weight of each serving:

\[ \text{Number of servings} = \frac{\frac{4}{5}}{\frac{1}{15}} \]

To perform this division, multiply by the reciprocal of \( \frac{1}{15} \):

\[ \text{Number of servings} = \frac{4}{5} \times 15 = \frac{4 \times 15}{5} = \frac{60}{5} = 12 \]

So, the number of servings of Sour Patch Kids available in the box is 12.

Answer 2

Patricia studied 4 1/2
hours for her Social Studies test. She studied half as long for her science test as she did for the Social Studies test. How long did she study for the science test?(1 point)
Responses

9 hours
9 hours

1/2
hour
1 half hour

2 1/2
hours
2 and 1 half hours

2 1/4
hours

Answer 3

To find out how long Patricia studied for her science test, we first need to determine how long she studied for her Social Studies test:

Patricia studied \( 4 \frac{1}{2} \) hours for her Social Studies test, which can be converted to an improper fraction:

\[ 4 \frac{1}{2} = \frac{9}{2} \text{ hours} \]

Now, since she studied half as long for her science test, we can find the time she studied for science by dividing the time spent on Social Studies by 2:

\[ \text{Time for Science Test} = \frac{1}{2} \times \frac{9}{2} = \frac{9}{4} \text{ hours} \]

Now, we can convert \( \frac{9}{4} \) hours to a mixed number:

\[ \frac{9}{4} = 2 \frac{1}{4} \text{ hours} \]

So, Patricia studied for 2 \(\frac{1}{4}\) hours for her science test. The correct answer is 2 1/4 hours.

Answer 4

If Ginger evenly shares 3/4
of a pizza with 8 people, how big of a slice does each person get?(1 point)
Responses

1/2
of the pizza
1 half of the pizza

1/12
of the pizza
1 over 12 of the pizza

6 3/4
of the pizza
6 and 3 fourths of the pizza

1/4
of the pizza
1 fourth of the pizza

Answer 5

To find out how big of a slice each person gets when Ginger shares \( \frac{3}{4} \) of a pizza with 8 people, we need to divide the amount of pizza by the number of people:

\[ \text{Slice size} = \frac{3/4}{8} \]

Dividing by a whole number is the same as multiplying by the reciprocal of that whole number:

\[ \text{Slice size} = \frac{3}{4} \times \frac{1}{8} = \frac{3 \times 1}{4 \times 8} = \frac{3}{32} \]

Each person gets \( \frac{3}{32} \) of the pizza.

Among the given responses, \( \frac{3}{32} \) is not listed. However, it's clear that each person receives a smaller fraction of the pizza than \( \frac{1}{12} \) or \( \frac{1}{4} \). Thus, the answer for each person's slice from \( \frac{3}{4} \) of a pizza shared among 8 people is:

Each person gets \( \frac{3}{32} \) of the pizza.