IDNLearn.com connects you with experts who provide accurate and reliable answers. Get accurate and detailed answers to your questions from our dedicated community members who are always ready to help.
Sagot :
Sure, let's start by choosing one of the ingredients from the recipe — we will use sugar for this purpose.
1. Identify the given quantity for a serving of 8 people:
The recipe calls for [tex]\(\frac{3}{4}\)[/tex] cup of sugar to serve 8 people.
2. Set up the proportion to find the required amount for 22 people:
We need to determine how much sugar is needed for 22 people. Let's denote:
- [tex]\(s_8\)[/tex] as the amount of sugar for 8 people.
- [tex]\(s_{22}\)[/tex] as the amount of sugar for 22 people.
The proportion can be written as:
[tex]\[ \frac{s_8}{8} = \frac{s_{22}}{22} \][/tex]
3. Substitute the values into the proportion:
We know that [tex]\(s_8 = \frac{3}{4}\)[/tex] cup.
So we have:
[tex]\[ \frac{\frac{3}{4}}{8} = \frac{s_{22}}{22} \][/tex]
4. Solve the proportion for [tex]\(s_{22}\)[/tex]:
To isolate [tex]\(s_{22}\)[/tex], we multiply both sides of the equation by 22:
[tex]\[ s_{22} = 22 \times \frac{\frac{3}{4}}{8} \][/tex]
5. Simplify the right-hand side:
- First, simplify the fraction inside the multiplication:
[tex]\[ \frac{\frac{3}{4}}{8} = \frac{3}{4 \times 8} = \frac{3}{32} \][/tex]
- Then, multiply by 22:
[tex]\[ s_{22} = 22 \times \frac{3}{32} \][/tex]
6. Calculate [tex]\(s_{22}\)[/tex]:
- Multiply the numerators and denominators:
[tex]\[ s_{22} = \frac{22 \times 3}{32} = \frac{66}{32} \][/tex]
- Simplify the fraction:
[tex]\[ \frac{66}{32} = 2.0625 \][/tex]
Therefore, [tex]\(s_{22} = 2.0625\)[/tex] cups.
7. Conclusion:
The amount of sugar needed for 22 people is [tex]\(2.0625\)[/tex] cups.
1. Identify the given quantity for a serving of 8 people:
The recipe calls for [tex]\(\frac{3}{4}\)[/tex] cup of sugar to serve 8 people.
2. Set up the proportion to find the required amount for 22 people:
We need to determine how much sugar is needed for 22 people. Let's denote:
- [tex]\(s_8\)[/tex] as the amount of sugar for 8 people.
- [tex]\(s_{22}\)[/tex] as the amount of sugar for 22 people.
The proportion can be written as:
[tex]\[ \frac{s_8}{8} = \frac{s_{22}}{22} \][/tex]
3. Substitute the values into the proportion:
We know that [tex]\(s_8 = \frac{3}{4}\)[/tex] cup.
So we have:
[tex]\[ \frac{\frac{3}{4}}{8} = \frac{s_{22}}{22} \][/tex]
4. Solve the proportion for [tex]\(s_{22}\)[/tex]:
To isolate [tex]\(s_{22}\)[/tex], we multiply both sides of the equation by 22:
[tex]\[ s_{22} = 22 \times \frac{\frac{3}{4}}{8} \][/tex]
5. Simplify the right-hand side:
- First, simplify the fraction inside the multiplication:
[tex]\[ \frac{\frac{3}{4}}{8} = \frac{3}{4 \times 8} = \frac{3}{32} \][/tex]
- Then, multiply by 22:
[tex]\[ s_{22} = 22 \times \frac{3}{32} \][/tex]
6. Calculate [tex]\(s_{22}\)[/tex]:
- Multiply the numerators and denominators:
[tex]\[ s_{22} = \frac{22 \times 3}{32} = \frac{66}{32} \][/tex]
- Simplify the fraction:
[tex]\[ \frac{66}{32} = 2.0625 \][/tex]
Therefore, [tex]\(s_{22} = 2.0625\)[/tex] cups.
7. Conclusion:
The amount of sugar needed for 22 people is [tex]\(2.0625\)[/tex] cups.
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! IDNLearn.com is your reliable source for answers. We appreciate your visit and look forward to assisting you again soon.