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Ratio and Proportion - URBrainy.com - Free Printable

Ratio and Proportion - URBrainy.com

Educational worksheet: Ratio and Proportion - URBrainy.com. Download and print for classroom or home learning activities.

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Explanation:
We are given a recipe for honey and lemon juice drink. The ingredients are:

- 1 cup of honey
- 2 cups of lemon juice
- 8 cups of water

Let’s answer each question step by step.

1. For every 1 cup of honey you need ___ cups of lemon juice.
From the recipe: 1 cup honey → 2 cups lemon juice
Answer: 2

2. For every 1 cup of honey you need ___ cups of water.
From the recipe: 1 cup honey → 8 cups water
Answer: 8

3. For every 2 cups of lemon juice you need ___ cups of water.
The recipe says: 2 cups lemon juice → 8 cups water
So for 2 cups lemon juice, it's directly 8 cups water.
Answer: 8

4a. Phil has 6 cups of lemon juice. How many cups of honey would he need to make the drink?
Ratio of honey to lemon juice is 1 : 2
So if lemon juice = 6 cups, then honey = 6 ÷ 2 = 3 cups
Answer: 3

4b. How many cups of water would he need?
From original ratio: 2 cups lemon juice → 8 cups water
So 1 cup lemon juice → 4 cups water
Then 6 cups lemon juice → 6 × 4 = 24 cups water
Answer: 24

5. Collette has been asked to make 50 jugs of the drink. Show how much of each ingredient she needs.
First, find how much one jug uses:
1 cup honey + 2 cups lemon juice + 8 cups water = 11 cups total per jug
But we don’t need total — we need amount of each ingredient for 50 jugs:

- Honey: 1 cup × 50 = 50 cups
- Lemon juice: 2 cups × 50 = 100 cups
- Water: 8 cups × 50 = 400 cups
Answers: Honey = 50, Lemon juice = 100, Water = 400

6. The ratio of honey to lemon juice can be written as 1 : 2. We say this as “1 to 2”. When we have 1 cup of honey, we need 2 cups of lemon juice.
So fill in:
What is the ratio of honey to water?
Honey : Water = 1 : 8
→ So: 1 to 8
While this is written: 1 : 8
In words: 1 cup of honey to 8 cups of water

7. What is the ratio of lemon juice to water?
Lemon juice : Water = 2 : 8
Simplify: divide both by 2 → 1 : 4
So:
Written as: 1 : 4
In words: 1 cup of lemon juice to 4 cups of water

8. Can you make the ratio of lemon juice to water simpler?
Yes — 2 : 8 simplifies to 1 : 4, which is simplest form (no common factor other than 1).
Answer: Yes, to 1 : 4

Now let’s double-check all answers:

1. 2
2. 8
3. 8
4a. 3
4b. 24
5. Honey: 50, Lemon juice: 100, Water: 400
6. 1 to 8; 1 : 8; 1 cup of honey to 8 cups of water
7. 1 : 4; 1 cup of lemon juice to 4 cups of water
8. Yes, to 1 : 4

All consistent.

Final Answer:
1. 2
2. 8
3. 8
4a. 3
4b. 24
5. Honey: 50 cups, Lemon juice: 100 cups, Water: 400 cups
6. 1 to 8; 1 : 8; 1 cup of honey to 8 cups of water
7. 1 : 4; 1 cup of lemon juice to 4 cups of water
8. Yes, to 1 : 4
Parent Tip: Review the logic above to help your child master the concept of introduction to ratios worksheet.
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