Question

Задача:Бегемот может съесть за день 60кг. Травы, а слон - 300кг. Сколько тонн травы требуется бегемоту и слону на 10 дней? Реши задачу разными способами.

Answer 1

60*10=600(кг) травы бегемоту на 10 дней 
300*10=3000(кг) травы слону на 10 дней 
3000+600=3600(кг) травы всего 
Ответ:3600 кг травы надо бегемоту и слону вместе.

Answer 2

Problem Analysis

We are given that a hippopotamus can eat 60 kg of grass in a day, while an elephant can eat 300 kg of grass in a day. We need to calculate how many tons of grass are required for the hippopotamus and the elephant over a period of 10 days.

Solution 1: Calculation

To solve this problem, we can calculate the total amount of grass required for each animal over 10 days and then convert it to tons.

The hippopotamus eats 60 kg of grass per day, so over 10 days, it will eat: 60 kg/day * 10 days = 600 kg

The elephant eats 300 kg of grass per day, so over 10 days, it will eat: 300 kg/day * 10 days = 3000 kg

To convert the amounts to tons, we divide by 1000: 600 kg / 1000 = 0.6 tons 3000 kg / 1000 = 3 tons

Therefore, the hippopotamus requires 0.6 tons of grass, and the elephant requires 3 tons of grass over 10 days.

Solution 2: Proportions

Another way to solve this problem is by setting up proportions. We can set up a proportion to find the amount of grass required for each animal over 10 days.

Let x be the amount of grass required for the hippopotamus over 10 days. Let y be the amount of grass required for the elephant over 10 days.

We can set up the following proportion: 60 kg / 1 day = x kg / 10 days 300 kg / 1 day = y kg / 10 days

Simplifying the proportions: x = 60 kg/day * 10 days = 600 kg y = 300 kg/day * 10 days = 3000 kg

Converting the amounts to tons: x = 600 kg / 1000 = 0.6 tons y = 3000 kg / 1000 = 3 tons

Therefore, the hippopotamus requires 0.6 tons of grass, and the elephant requires 3 tons of grass over 10 days.

Solution 3: Using Ratios

We can also solve this problem by using ratios. The ratio of grass consumption between the hippopotamus and the elephant is 60 kg : 300 kg, which simplifies to 1 : 5.

To find the amount of grass required for each animal over 10 days, we can multiply the ratio by 10: Hippopotamus: 1 * 10 = 10 Elephant: 5 * 10 = 50

Therefore, the hippopotamus requires 10 times the amount of grass it eats in a day over 10 days, which is 600 kg or 0.6 tons. The elephant requires 50 times the amount of grass it eats in a day over 10 days, which is 3000 kg or 3 tons.

Conclusion

In conclusion, the hippopotamus requires 0.6 tons of grass, and the elephant requires 3 tons of grass over a period of 10 days. This can be calculated using different methods, such as direct calculation, proportions, or ratios.