Question

Имеются несколько поросят одинакового веса и несколько ягнят, также одинакового веса3 поросенка и два ягненка весят 22 кг, а два поросенка и три ягненка весят 23 кг. Сколько весит один поросенок и один ягненокзадача для второго класса

Answer 1

3 поросёнка + 2 ягнёнка + 2 поросёнка + 3 ягнёнка = 5 поросят + 5 ягнят весят 22+23=45 кг. Тогда 1 поросёнок и 1 ягнёнок весят 45/5=9 кг. Ответ: 9 кг.

Answer 2

3x+2y=22;
2x+3y=23;
x из первого уравнения x=(22-2y)/3;
2×((22-2y)/3)+3y=23;
(4(11-y))/3+3y=23;
44-4y+9y=69;
5y=25;
y=5кг, 5кг 1 ягненок;
x=4кг 1 поросенок

Answer 3

Solution:

To solve this problem, we can use a system of equations to represent the given information and then solve for the weights of one piglet and one lamb.

Let's denote the weight of one piglet as P and the weight of one lamb as L.

We are given the following information: 1. 3 piglets and 2 lambs weigh 22 kg: 3P + 2L = 22 2. 2 piglets and 3 lambs weigh 23 kg: 2P + 3L = 23

We can solve these equations to find the values of P and L.

First, we can multiply the first equation by 2 and the second equation by 3 to make the coefficients of P the same in both equations:

2 * (3P + 2L) = 2 * 22 3 * (2P + 3L) = 3 * 23

This simplifies to: 6P + 4L = 44 6P + 9L = 69

Subtracting the first equation from the second gives: 5L = 25 L = 5

Now that we have the value of L, we can substitute it back into the first equation to solve for P: 3P + 2(5) = 22 3P + 10 = 22 3P = 12 P = 4

Answer:

One piglet weighs 4 kg, and one lamb weighs 5 kg.