Question
*Work the problems out in your notebook. Then type the answers below.
Lily mixed 34.5 fluid ounces of blue paint, 40.5 fluid ounces of red paint, and 2 fluid ounces of black paint to make purple paint. She poured the same amount of the purple paint into each of 14 jars. How much paint did she pour in each jar?
Answer:
Fabian made chicken soup by combining the entire can of soup which was 18.6 fluid ounces with a full can of water that is also 18.6 fluid ounces. How many 10-fluid ounce bowls can he fill with the soup? How much soup will be left over?
Answer:
Answers
GPT-4o mini
To solve the problems, let's break them down one by one.
**1. Lily's Purple Paint:**
First, we need to calculate the total amount of purple paint she made.
- Blue paint: 34.5 fluid ounces
- Red paint: 40.5 fluid ounces
- Black paint: 2 fluid ounces
Total purple paint:
\[
34.5 + 40.5 + 2 = 77 \text{ fluid ounces}
\]
Next, she poured this total amount into 14 jars. To find out how much paint was poured into each jar, we divide the total amount of purple paint by the number of jars:
\[
\frac{77}{14} \approx 5.5 \text{ fluid ounces}
\]
So, the amount poured into each jar is approximately **5.5 fluid ounces**.
**Answer: 5.5 fluid ounces.**
---
**2. Fabian's Chicken Soup:**
First, we calculate the total amount of soup that Fabian has. He combined:
- Soup: 18.6 fluid ounces
- Water: 18.6 fluid ounces
Total soup:
\[
18.6 + 18.6 = 37.2 \text{ fluid ounces}
\]
To find out how many 10-fluid-ounce bowls Fabian can fill with the soup, we divide the total amount of soup by the size of each bowl:
\[
\frac{37.2}{10} = 3.72
\]
Fabian can fill **3 whole bowls** (since he cannot fill a fraction of a bowl).
To find out how much soup will be left over after filling 3 bowls, we calculate the amount of soup used for 3 bowls:
\[
3 \times 10 = 30 \text{ fluid ounces}
\]
Now, we subtract this amount from the total soup to find the leftover:
\[
37.2 - 30 = 7.2 \text{ fluid ounces}
\]
So, Fabian can fill **3 bowls** and will have **7.2 fluid ounces** left over.
**Answer: 3 bowls, 7.2 fluid ounces left over.**
**1. Lily's Purple Paint:**
First, we need to calculate the total amount of purple paint she made.
- Blue paint: 34.5 fluid ounces
- Red paint: 40.5 fluid ounces
- Black paint: 2 fluid ounces
Total purple paint:
\[
34.5 + 40.5 + 2 = 77 \text{ fluid ounces}
\]
Next, she poured this total amount into 14 jars. To find out how much paint was poured into each jar, we divide the total amount of purple paint by the number of jars:
\[
\frac{77}{14} \approx 5.5 \text{ fluid ounces}
\]
So, the amount poured into each jar is approximately **5.5 fluid ounces**.
**Answer: 5.5 fluid ounces.**
---
**2. Fabian's Chicken Soup:**
First, we calculate the total amount of soup that Fabian has. He combined:
- Soup: 18.6 fluid ounces
- Water: 18.6 fluid ounces
Total soup:
\[
18.6 + 18.6 = 37.2 \text{ fluid ounces}
\]
To find out how many 10-fluid-ounce bowls Fabian can fill with the soup, we divide the total amount of soup by the size of each bowl:
\[
\frac{37.2}{10} = 3.72
\]
Fabian can fill **3 whole bowls** (since he cannot fill a fraction of a bowl).
To find out how much soup will be left over after filling 3 bowls, we calculate the amount of soup used for 3 bowls:
\[
3 \times 10 = 30 \text{ fluid ounces}
\]
Now, we subtract this amount from the total soup to find the leftover:
\[
37.2 - 30 = 7.2 \text{ fluid ounces}
\]
So, Fabian can fill **3 bowls** and will have **7.2 fluid ounces** left over.
**Answer: 3 bowls, 7.2 fluid ounces left over.**