Question

Решите задачу с помощью уравнения. Ящерица агамы в течении суток съедает 180 г насекомых,а пауков в 4 раза больше.Сколько всего грамов насекомых и пауков съедает ящерица агама за сутки? Ответ знаю 900г. как составить уравнение?

Answer 1

180*4=720 720+180=900(гр) 180*4+180=900

Answer 2

Problem Analysis

To solve this problem, we need to determine the total weight of insects and spiders that the agama lizard consumes in a day. We are given that the lizard eats 180 grams of insects, and the number of spiders it eats is four times the number of insects.

Formulating the Equation

Let's assume the weight of one insect is x grams. Since the lizard eats 180 grams of insects, we can write the equation:

180 = x

The weight of one spider is four times the weight of one insect, so the weight of one spider is 4x grams. Let's assume the number of spiders the lizard eats is y. The total weight of spiders consumed is then 4x * y grams.

Solving the Equation

To find the total weight of insects and spiders consumed by the lizard, we need to find the values of x and y.

From the given information, we know that the total weight of insects and spiders consumed is 900 grams. We can write the equation:

180 + 4x * y = 900

Simplifying the equation, we have:

4x * y = 900 - 180

4x * y = 720

Now we have two equations:

180 = x

4x * y = 720

We can substitute the value of x from the first equation into the second equation:

4 * 180 * y = 720

Simplifying further:

720y = 720

Dividing both sides by 720:

y = 1

Substituting the value of y back into the first equation:

180 = x

Therefore, the weight of one insect is 180 grams, and the number of spiders the lizard eats is 1.

Calculating the Total Weight

To find the total weight of insects and spiders consumed by the lizard, we can substitute the values of x and y into the equation:

Total weight = 180 + 4x * y

Total weight = 180 + 4 * 180 * 1

Total weight = 180 + 720

Total weight = 900

Therefore, the agama lizard consumes a total of 900 grams of insects and spiders in a day.

Conclusion

The agama lizard consumes a total of 900 grams of insects and spiders in a day. This is calculated by assuming the weight of one insect is 180 grams and the number of spiders the lizard eats is 1.