5. The ratio of bananas to melons is $$ 30: 1 $$ If there are 300 bananas, how many melons are there?

Question

UpStudy AI · Accepted Answer

To solve the problem, we start by extracting the known conditions:

1. The ratio of bananas to melons is $$ 30:1 $$.
2. The number of bananas is $$ 300 $$.

Next, we can set up the relationship based on the ratio. The ratio $$ 30:1 $$ means that for every $$ 30 $$ bananas, there is $$ 1 $$ melon.

We can express this relationship mathematically as follows:

$$
\frac{\text{bananas}}{\text{melons}} = \frac{30}{1}
$$

Let $$ m $$ be the number of melons. According to the ratio, we can write:

$$
\frac{300}{m} = \frac{30}{1}
$$

Now, we can cross-multiply to solve for $$ m $$:

$$
300 \cdot 1 = 30 \cdot m
$$

This simplifies to:

$$
300 = 30m
$$

Next, we divide both sides by $$ 30 $$ to isolate $$ m $$:

$$
m = \frac{300}{30}
$$

Calculating this gives:

$$
m = 10
$$

Thus, the number of melons is $$ 10 $$.

In conclusion, if there are $$ 300 $$ bananas, there are $$ 10 $$ melons.
There are 10 melons.

5. The ratio of bananas to melons is \( 30: 1 \) If there are 300 bananas, how many melons are there?