Students can practice solving ratio word problems using this grade 6 math worksheet featuring a fruit and vegetable store inventory scenario.
Grade 6 ratio word problems worksheet with fruit and vegetable inventory questions.
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Step-by-step solution for: grade-6-ratio-word-... ing Ratio word problems Grade 6 Ratios ...
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Show Answer Key & Explanations
Step-by-step solution for: grade-6-ratio-word-... ing Ratio word problems Grade 6 Ratios ...
Problem Analysis:
The worksheet involves solving ratio word problems. Ratios compare two quantities and can be used to find unknown values when one quantity is known. The general approach is to set up a proportion based on the given ratio and solve for the unknown.
Solution to Each Problem:
#### Problem 1:
- Ratio of tomatoes to red apples: 2:5
- Given: There are 20 tomatoes.
- Find: How many red apples are there?
Step-by-Step Solution:
1. The ratio 2:5 means that for every 2 tomatoes, there are 5 red apples.
2. Let the number of red apples be \( x \).
3. Set up the proportion based on the ratio:
\[
\frac{\text{Tomatoes}}{\text{Red Apples}} = \frac{2}{5} = \frac{20}{x}
\]
4. Solve for \( x \):
\[
\frac{2}{5} = \frac{20}{x} \implies 2x = 5 \times 20 \implies 2x = 100 \implies x = \frac{100}{2} = 50
\]
Answer: There are 50 red apples.
#### Problem 2:
- Ratio of berries to oranges: 10:1
- Given: There are 25 oranges.
- Find: How many berries are there?
Step-by-Step Solution:
1. The ratio 10:1 means that for every 1 orange, there are 10 berries.
2. Let the number of berries be \( y \).
3. Set up the proportion based on the ratio:
\[
\frac{\text{Berries}}{\text{Oranges}} = \frac{10}{1} = \frac{y}{25}
\]
4. Solve for \( y \):
\[
\frac{10}{1} = \frac{y}{25} \implies y = 10 \times 25 = 250
\]
Answer: There are 250 berries.
#### Problem 3:
- Ratio of potatoes to turnips: 1:1
- Given: There are 473 potatoes.
- Find: How many turnips are there?
Step-by-Step Solution:
1. The ratio 1:1 means that the number of potatoes is equal to the number of turnips.
2. Let the number of turnips be \( z \).
3. Set up the proportion based on the ratio:
\[
\frac{\text{Potatoes}}{\text{Turnips}} = \frac{1}{1} = \frac{473}{z}
\]
4. Solve for \( z \):
\[
\frac{1}{1} = \frac{473}{z} \implies z = 473
\]
Answer: There are 473 turnips.
#### Problem 4:
- Ratio of pears to green apples: 1:3
- Given: There are 150 green apples.
- Find: How many pears are there?
Step-by-Step Solution:
1. The ratio 1:3 means that for every 3 green apples, there is 1 pear.
2. Let the number of pears be \( w \).
3. Set up the proportion based on the ratio:
\[
\frac{\text{Pears}}{\text{Green Apples}} = \frac{1}{3} = \frac{w}{150}
\]
4. Solve for \( w \):
\[
\frac{1}{3} = \frac{w}{150} \implies w = \frac{150}{3} = 50
\]
Answer: There are 50 pears.
#### Problem 5:
- Ratio of bananas to melons: 30:1
- Given: There are 300 bananas.
- Find: How many melons are there?
Step-by-Step Solution:
1. The ratio 30:1 means that for every 30 bananas, there is 1 melon.
2. Let the number of melons be \( m \).
3. Set up the proportion based on the ratio:
\[
\frac{\text{Bananas}}{\text{Melons}} = \frac{30}{1} = \frac{300}{m}
\]
4. Solve for \( m \):
\[
\frac{30}{1} = \frac{300}{m} \implies 30m = 300 \implies m = \frac{300}{30} = 10
\]
Answer: There are 10 melons.
#### Problem 6:
- Ratio of blueberries to strawberries: 1:7
- Given: There are 210 strawberries.
- Find: How many blueberries are there?
Step-by-Step Solution:
1. The ratio 1:7 means that for every 7 strawberries, there is 1 blueberry.
2. Let the number of blueberries be \( b \).
3. Set up the proportion based on the ratio:
\[
\frac{\text{Blueberries}}{\text{Strawberries}} = \frac{1}{7} = \frac{b}{210}
\]
4. Solve for \( b \):
\[
\frac{1}{7} = \frac{b}{210} \implies b = \frac{210}{7} = 30
\]
Answer: There are 30 blueberries.
Final Answers:
\[
\boxed{50, 250, 473, 50, 10, 30}
\]
Parent Tip: Review the logic above to help your child master the concept of ratio word problems worksheet 7th grade.