Here are the step-by-step solutions for each problem on the worksheet.
1. The ratio of tomatoes to red apples is 2:5. If there are 20 tomatoes, how many red apples are there?
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Step 1: Look at the ratio. For every 2 tomatoes, there are 5 red apples.
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Step 2: We have 20 tomatoes. We need to find out how many times 2 goes into 20.
* $20 \div 2 = 10$. This means we have 10 "groups" of the ratio.
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Step 3: Multiply the apple part of the ratio (5) by that same number (10).
* $5 \times 10 = 50$.
* There are 50 red apples.
2. The ratio of berries to oranges is 10:1. If there are 25 oranges, how many berries are there?
*
Step 1: Look at the ratio. For every 1 orange, there are 10 berries.
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Step 2: We have 25 oranges. Since the orange part of the ratio is just 1, we simply multiply the berry part by 25.
* $10 \times 25 = 250$.
* There are 250 berries.
3. The ratio of potatoes to turnips is 1:1. If there are 473 potatoes, how many turnips are there?
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Step 1: Look at the ratio. It is 1:1. This means the amounts are exactly equal.
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Step 2: If there are 473 potatoes, there must be the same number of turnips.
* There are 473 turnips.
4. The ratio of pears to green apples is 1:3. If there are 150 green apples, how many pears are there?
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Step 1: Look at the ratio. For every 1 pear, there are 3 green apples.
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Step 2: We know the number of green apples (150). We need to divide this by the apple part of the ratio (3) to find the value of one "group."
* $150 \div 3 = 50$.
*
Step 3: The pear part of the ratio is 1. So, we multiply 1 by 50.
* $1 \times 50 = 50$.
* There are 50 pears.
5. The ratio of bananas to melons is 30:1. If there are 300 bananas, how many melons are there?
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Step 1: Look at the ratio. For every 30 bananas, there is 1 melon.
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Step 2: We have 300 bananas. We need to see how many groups of 30 fit into 300.
* $300 \div 30 = 10$.
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Step 3: Multiply the melon part of the ratio (1) by 10.
* $1 \times 10 = 10$.
* There are 10 melons.
6. The ratio of blueberries to strawberries is 1:7. If there are 210 strawberries, how many blueberries are there?
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Step 1: Look at the ratio. For every 1 blueberry, there are 7 strawberries.
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Step 2: We know the number of strawberries (210). We divide this by the strawberry part of the ratio (7).
* $210 \div 7 = 30$.
*
Step 3: The blueberry part of the ratio is 1. So, we multiply 1 by 30.
* $1 \times 30 = 30$.
* There are 30 blueberries.
Final Answer:
1. 50 red apples
2. 250 berries
3. 473 turnips
4. 50 pears
5. 10 melons
6. 30 blueberries
Parent Tip: Review the logic above to help your child master the concept of ratios worksheet grade 6.
