Question

Помогите пожалуйста решить задачу УРАВНЕНИЕМ С УСЛОВИМ... рыбаки выловили всего 324 рыбы. Из них окуней в 3 раза больше, чем щюк, но на 17 меньше, чем лещей. Сазанов в 2 раза больше, чем лещей. сколько щук выловили рыбаки? сазанов?

Answer 1

Щуки-x, Окуней-3x, 3х+17-Лещей, 2(3х+17)-Сазаны.

х+3х+3х+17+2(3х+17)=324
 х+3х+3х+17+6х+34=324
х+3х+3х+6х=324-17-34
13х=273
х=273\13
х=21-щука
2(3*21+17)=160
ответ: рыбаки наловили 21 щуку, 160 сазанов

Answer 2

Problem Analysis

To solve this problem, we need to determine the number of pikes (щук) and carps (сазанов) caught by the fishermen. We are given the following information: - The total number of fish caught is 324. - The number of perches (окуней) is three times the number of pikes. - The number of perches is 17 less than the number of carps. - The number of carps is twice the number of pikes.

Let's assign variables to the unknown quantities: - Let p represent the number of pikes. - Let o represent the number of perches. - Let c represent the number of carps.

Solution

We can set up a system of equations based on the given information and solve it to find the values of p, o, and c.

1. The total number of fish caught is 324: - p + o + c = 324

2. The number of perches is three times the number of pikes: - o = 3p

3. The number of perches is 17 less than the number of carps: - o = c - 17

4. The number of carps is twice the number of pikes: - c = 2p

Now, let's substitute the values from equations 2, 3, and 4 into equation 1 to solve for p.

Substituting equation 2 into equation 1: p + 3p + c = 324 4p + c = 324

Substituting equation 3 into equation 1: c - 17 + c = 324 2c - 17 = 324 2c = 341 c = 170.5

Substituting equation 4 into equation 1: 4p + 170.5 = 324 4p = 153.5 p = 38.375

Since the number of fish must be a whole number, we can round the values of p and c to the nearest whole number: p ≈ 38 c ≈ 171

Now, let's substitute the values of p and c into equation 2 to find the value of o: o = 3p o ≈ 3 * 38 o ≈ 114

Therefore, the fishermen caught approximately 38 pikes, 114 perches, and 171 carps.

Answer

The fishermen caught approximately 38 pikes, 114 perches, and 171 carps.