
Помогите решить задачу дам 15 баллов обещаю 1)в мастерской сшили одинаковые плащи из двух кусков
ткани.В одном куске было на 4 метров ткани больше, и из него сшили на 2 плаща больше.сколько метров ткани расходовали на 1 плащ? на 6 плащей? 2)в мастерской сшили одинаковые плащи из двух кусков ткани длиной 6 метров и 10 метров.из большего куска сшили на 2 плаща больше.сколько метров ткани израсходовали на 8 плащей?

Ответы на вопрос




1)4/2+2 метра на плащ
2
1)10-6=4
2)4/2=2 метра на плащ
3)8*2=16 метров на 8 плащей



Problem 1: Sewing Coats
In a workshop, identical coats were sewn from two pieces of fabric. One piece of fabric was 4 meters longer than the other. From the longer piece, they were able to sew 2 more coats than from the shorter piece. We need to find out how many meters of fabric were used for one coat and for 6 coats.
To solve this problem, let's break it down step by step:
1) Let's assume the length of the shorter piece of fabric is x meters. 2) The longer piece of fabric is 4 meters longer, so its length is x + 4 meters. 3) From the longer piece, they were able to sew 2 more coats than from the shorter piece. This means that the number of coats sewn from the shorter piece is n, and the number of coats sewn from the longer piece is n + 2.
Now, we can set up an equation to solve for the length of fabric used for one coat and for 6 coats.
Let's calculate the length of fabric used for one coat:
- From the shorter piece of fabric, they were able to sew n coats, so the length of fabric used for one coat is (x meters) / (n coats). - From the longer piece of fabric, they were able to sew n + 2 coats, so the length of fabric used for one coat is ((x + 4) meters) / (n + 2 coats).
Since both expressions represent the length of fabric used for one coat, we can set them equal to each other:
(x meters) / (n coats) = ((x + 4) meters) / (n + 2 coats)
Now, let's calculate the length of fabric used for 6 coats:
- From the shorter piece of fabric, they were able to sew n coats, so the length of fabric used for 6 coats is 6 * (x meters) / (n coats). - From the longer piece of fabric, they were able to sew n + 2 coats, so the length of fabric used for 6 coats is 6 * ((x + 4) meters) / (n + 2 coats).
Again, since both expressions represent the length of fabric used for 6 coats, we can set them equal to each other:
6 * (x meters) / (n coats) = 6 * ((x + 4) meters) / (n + 2 coats)
Now, we have two equations that we can solve simultaneously to find the values of x and n.
Let's solve the equations:
Equation 1: (x meters) / (n coats) = ((x + 4) meters) / (n + 2 coats)
Cross-multiplying, we get:
x * (n + 2 coats) = (x + 4) meters * n
Expanding, we get:
x * n + 2x = x * n + 4n
Simplifying, we get:
2x = 4n
Dividing both sides by 2, we get:
x = 2n
Equation 2: 6 * (x meters) / (n coats) = 6 * ((x + 4) meters) / (n + 2 coats)
Cross-multiplying, we get:
6x * (n + 2 coats) = 6 * (x + 4) meters * n
Expanding, we get:
6x * n + 12x = 6x * n + 24n
Simplifying, we get:
12x = 24n
Dividing both sides by 12, we get:
x = 2n
We can see that both equations lead to the same result: x = 2n.
Therefore, the length of fabric used for one coat is equal to the number of coats sewn from the shorter piece of fabric, and the length of fabric used for 6 coats is equal to 6 times the length of fabric used for one coat.
To find the length of fabric used for one coat and for 6 coats, we need to know the relationship between the number of coats sewn from the shorter piece of fabric and the length of that piece.
Unfortunately, the problem statement does not provide this information. Without this information, we cannot determine the exact length of fabric used for one coat and for 6 coats.
If you have any additional information or if there is anything else I can help you with, please let me know!


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