In a zoo, 30 monkeys consume 140 kg of bananas in 7 days. In how many days will 15 monkeys consume 60 kg of bananas?

This problem involves direct and inverse proportionality. To solve it, let's break it down step by step:

### Step 1: Calculate the amount of bananas consumed by 1 monkey per day.

Given that:
- 30 monkeys consume 140 kg of bananas in 7 days.

So, the total amount of bananas consumed by all 30 monkeys per day is:
\[
\frac{140 \text{ kg}}{7 \text{ days}} = 20 \text{ kg/day}
\]

Thus, the amount consumed by 1 monkey per day is:
\[
\frac{20 \text{ kg/day}}{30 \text{ monkeys}} = \frac{2}{3} \text{ kg/day/monkey}
\]

### Step 2: Determine how many bananas 15 monkeys will consume per day.

If 1 monkey consumes \( \frac{2}{3} \text{ kg/day} \), then 15 monkeys will consume:
\[
15 \times \frac{2}{3} = 10 \text{ kg/day}
\]

### Step 3: Calculate how many days it will take for 15 monkeys to consume 60 kg of bananas.

Now that we know 15 monkeys consume 10 kg of bananas per day, the number of days it will take them to consume 60 kg is:
\[
\frac{60 \text{ kg}}{10 \text{ kg/day}} = 6 \text{ days}
\]

### Final Answer:
15 monkeys will consume 60 kg of bananas in **6 days**.

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Would you like more details or have any questions? Here are five related questions to deepen your understanding:

1. If 10 monkeys consume 90 kg of bananas in 9 days, how many kilograms will 20 monkeys consume in 5 days?
2. How many kilograms of bananas would 45 monkeys consume in 10 days?
3. If the number of monkeys doubles, how does the number of days required to consume a fixed amount of bananas change?
4. How many days would 20 monkeys take to consume 140 kg of bananas, if they ate at the same rate as the original group?
5. If 15 monkeys ate 90 kg of bananas in 6 days, how many bananas would 20 monkeys consume in 8 days?

**Tip:** Always check whether a problem involves direct or inverse proportions before solving it!

Explore a real-world math problem involving proportionality: 30 monkeys consume 140 kg of bananas in 7 days. Discover how to calculate the time required for 15 monkeys to consume 60 kg of bananas using unit rates and inverse proportionality. Suitable for Grades 5-7.

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