Question

На птицеферме были куры,утки и индейки.Утки составляли 0,42 всех птиц,а индейки 9/28 уток. Сколько всего птиц на ферме,если индеек было 54?

Answer 1

54:9/28=168 уток
168:0,42=400птиц всего
задача на нахождение целого то его части

Answer 2

Problem Analysis

We are given that on a bird farm, there are chickens, ducks, and turkeys. It is known that ducks make up 0.42 of all birds, and turkeys make up 9/28 of the ducks. We are asked to find the total number of birds on the farm, given that there are 54 turkeys.

Solution

Let's assume the total number of birds on the farm is x.

According to the given information, ducks make up 0.42 of all birds. Therefore, the number of ducks can be calculated as 0.42 * x.

It is also given that turkeys make up 9/28 of the ducks. Therefore, the number of turkeys can be calculated as (9/28) * (0.42 * x).

We are given that there are 54 turkeys. So we can set up the following equation:

(9/28) * (0.42 * x) = 54

Now we can solve this equation to find the value of x.

Calculation

Let's solve the equation:

(9/28) * (0.42 * x) = 54

First, let's simplify the equation:

(9/28) * (0.42 * x) = 54

(9/28) * 0.42 * x = 54

0.1134 * x = 54

Now, let's solve for x:

x = 54 / 0.1134

x ≈ 476.190476

Answer

Therefore, the total number of birds on the farm is approximately 476.

Verification

To verify the answer, let's calculate the number of ducks and turkeys using the calculated value of x.

Number of ducks = 0.42 * x ≈ 0.42 * 476.190476 ≈ 200

Number of turkeys = (9/28) * (0.42 * x) ≈ (9/28) * (0.42 * 476.190476) ≈ 54

The calculated values match the given information, so the answer is verified.

Conclusion

The total number of birds on the farm is approximately 476.