Question

Из 36 м ткани сшили 9 одинаковых плащей. Сколько метров такой ткани потребуется на 11 одинаковых спортивных костюмов, если на каждый костюм расходуют на 1 м такой ткани больше, чем на 1 плащ?

Answer 1

36:9=4( м) на 1 плащ

4+1=5(м) на 1 костюм

11*5=55(м)  потребуется на 11 костюмов

Answer 2

Problem Analysis

We are given that 36 meters of fabric were used to make 9 identical coats. We need to determine how many meters of fabric will be needed to make 11 identical sports suits, where each suit requires 1 meter more fabric than a coat.

Solution

To solve this problem, we can use the following steps:

1. Determine the amount of fabric used for each coat. 2. Calculate the additional fabric required for each sports suit. 3. Multiply the additional fabric required by the number of sports suits. 4. Add the additional fabric to the fabric used for the coats to get the total fabric required for the sports suits.

Let's calculate the solution step by step.

Step 1: Determine the amount of fabric used for each coat

We are given that 36 meters of fabric were used to make 9 identical coats. To find the amount of fabric used for each coat, we divide the total fabric used by the number of coats:

Fabric used per coat = Total fabric used / Number of coats

Fabric used per coat = 36 meters / 9 coats

Fabric used per coat = 4 meters

Step 2: Calculate the additional fabric required for each sports suit

We are told that each sports suit requires 1 meter more fabric than a coat. Therefore, the additional fabric required for each sports suit is 1 meter.

Step 3: Multiply the additional fabric required by the number of sports suits

We need to find the additional fabric required for 11 sports suits. To calculate this, we multiply the additional fabric required per suit by the number of suits:

Additional fabric required for sports suits = Additional fabric per suit * Number of suits

Additional fabric required for sports suits = 1 meter * 11 suits

Additional fabric required for sports suits = 11 meters

Step 4: Add the additional fabric to the fabric used for the coats

To find the total fabric required for the sports suits, we add the additional fabric required to the fabric used for the coats:

Total fabric required for sports suits = Fabric used per coat + Additional fabric required for sports suits

Total fabric required for sports suits = 4 meters + 11 meters

Total fabric required for sports suits = 15 meters

Therefore, 15 meters of fabric will be required to make 11 identical sports suits, given that each suit requires 1 meter more fabric than a coat.

Answer

To make 11 identical sports suits, 15 meters of fabric will be required.