Math Problem Statement
John has a bag of marbles. The ratio of red marbles to blue marbles is 3 : 7. What percent of the marbles are red?
Solution
To find the percentage of red marbles in the bag, we can use the ratio provided, which is 3 red marbles to 7 blue marbles (a total of marbles).
The percentage of red marbles is calculated as:
Substitute the values:
So, 30% of the marbles are red.
Would you like further explanation or have any questions?
Here are 5 related questions to deepen understanding:
- If John has 50 marbles in total, how many are red and how many are blue?
- What is the ratio of blue marbles to total marbles?
- If 60% of the marbles were blue, what would be the ratio of red to blue marbles?
- If John adds 5 more red marbles to the bag, how does the ratio of red to blue marbles change?
- How would you express the ratio of red to blue marbles as a fraction?
Tip: When working with ratios, always consider the total number of parts involved to make calculations easier.
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Math Problem Analysis
Mathematical Concepts
Ratios
Percentages
Proportions
Formulas
Percentage of red marbles = (Number of red marbles / Total number of marbles) × 100
Theorems
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Suitable Grade Level
Grades 5-7
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