Ratio (1) - Ratio and Proportion by URBrainy.com - Free Printable

Let’s solve this step by step.

We are told:
- For every 1 cup of honey, you need 2 cups of lemon juice.
- For every 1 cup of honey, you also need 8 cups of water.

So the recipe for one drink is:
→ 1 cup honey
→ 2 cups lemon juice
→ 8 cups water

That means one full drink uses:
1 + 2 + 8 = 11 total cups

But we don’t need to worry about total cups yet — let’s answer each question.

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Question 3:
“For every 1 cup of honey you need ___ cups of lemon juice.”
From above → 2

Question 4:
“For every 1 cup of honey you need ___ cups of water.”
From above → 8

Question 5:
“For every 2 cups of lemon juice you need ___ cups of water.”
Since 2 cups lemon juice go with 1 cup honey, and 1 cup honey needs 8 cups water → so 2 cups lemon juice go with 8 cups water.
Answer: 8

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Question 6a:
Phil has 6 cups of lemon juice. How many cups of honey would he need?

We know:
2 cups lemon juice → 1 cup honey
So 6 cups lemon juice → ? cups honey

Divide 6 by 2 → 3
So he needs 3 cups of honey

Question 6b:
How many cups of water would he need to make the drink?

If he uses 3 cups honey (from part a), then for each cup of honey he needs 8 cups water.

So 3 × 8 = 24 cups of water

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Question 7:
Cody’s Cafeteria wants to make 100 jugs of the drink. How much of each ingredient do they need?

One jug = 1 cup honey + 2 cups lemon juice + 8 cups water

So for 100 jugs:

Honey: 100 × 1 = 100 cups
Lemon Juice: 100 × 2 = 200 cups
Water: 100 × 8 = 800 cups

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Now, the ratio section:

The ratio of honey : lemon juice : water = 1 : 2 : 8

Question 8:
“What is the ratio of honey to water?”
Honey : Water = 1 : 8
In words: “For every 1 cup of honey, you need 8 cups of water.”

Question 9:
“What is the ratio of lemon juice to water?”
Lemon juice : Water = 2 : 8
Can we simplify? Yes! Divide both by 2 → 1 : 4
In words: “For every 1 cup of lemon juice, you need 4 cups of water.”

Question 10:
“Can you make the ratio of lemon juice to water simpler?”
Yes → from 2:8 to 1:4

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Final Answers:

3. 2
4. 8
5. 8
6a. 3
6b. 24
7. Honey: 100, Lemon Juice: 200, Water: 800
8. 1 to 8; For every 1 cup of honey, you need 8 cups of water.
9. 2 to 8; simplified to 1 to 4; For every 1 cup of lemon juice, you need 4 cups of water.
10. Yes → 1:4

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Final Answer:
3. 2
4. 8
5. 8
6a. 3
6b. 24
7. Honey: 100 cups, Lemon Juice: 200 cups, Water: 800 cups
8. Ratio: 1 to 8; In words: For every 1 cup of honey, you need 8 cups of water.
9. Ratio: 2 to 8 (simplified to 1 to 4); In words: For every 1 cup of lemon juice, you need 4 cups of water.
10. Yes, it simplifies to 1:4