The ratio of bananas to melons is 30:1. If there are 300 bananas, how many melons are there?
Understand the Problem
The question is asking how to determine the number of melons given a ratio of bananas to melons, specifically when there are 300 bananas. To solve this, we can use the ratio 30:1, which indicates that for every 30 bananas, there is 1 melon.
Answer
$10$
Answer for screen readers
The number of melons is $10$.
Steps to Solve
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Identify the given ratio The ratio of bananas to melons is given as 30:1. This means that for every 30 bananas, there is 1 melon.
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Calculate the number of melons per banana To find out how many melons there are for a specific number of bananas, we set up the equation using the ratio: Let $b$ be the number of bananas and $m$ be the number of melons. The equation can be expressed as: $$ \frac{b}{m} = 30 $$ From the ratio, we can express melons as: $$ m = \frac{b}{30} $$
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Substitute the number of bananas into the equation Now, we plug in the given number of bananas, which is 300: $$ m = \frac{300}{30} $$
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Calculate the number of melons Now perform the division to find the number of melons: $$ m = 10 $$
The number of melons is $10$.
More Information
The calculation shows that with 300 bananas and a ratio of 30:1, there are 10 melons. This type of problem helps in understanding ratios and how they relate to real-life situations like fruit distribution.
Tips
- A common mistake is to misinterpret the ratio, confusing the number of bananas with the number of melons. Make sure to remember that the ratio is a comparison, where the first number refers to bananas and the second to melons.
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