Question
5. The ratio of bananas to melons is \( 30: 1 \) If there are 300 bananas, how many melons are there?
Ask by Little Kelley. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
There are 10 melons.
Solution
1. Let the number of melons be \( m \).
2. The ratio of bananas to melons is given by:
\[
\frac{30}{1} = \frac{300}{m}
\]
3. Cross-multiply to solve for \( m \):
\[
30 \times m = 1 \times 300
\]
\[
30m = 300
\]
4. Divide both sides by 30:
\[
m = \frac{300}{30}
\]
\[
m = 10
\]
5. Therefore, there are \( 10 \) melons.
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Simplify this solution Bonus Knowledge
In a \( 30:1 \) ratio, for every 30 bananas, there is 1 melon. So, if you have 300 bananas, you can find the number of melons by dividing the number of bananas by 30. Therefore, \( 300 \div 30 = 10 \). This means there are 10 melons! To double-check your ratio, always keep it in line with the proportions. If you multiply the number of melons (10) by 30, you'll get back to 300 bananas, confirming it fits perfectly into the given ratio of \( 30:1 \). Happy counting! 🍌🍉
