Question

Задача 3 класс (Муравьева Г.Л., Урбан М.А. стр 5 часть2) из двух кусков ткани длиной 48 и 46м решили сшить палатки. НА каждую палатку расходуются 4м ткани. Всего сшили 11 палаток. Сколько метров ткани осталось? Решить разными способами

Answer 1

1 способ.

1) 48+46=94(м) - было ткани
2) 11*4=44(м) - потратили на 4 палатки
3) 94-44=50(м) -ткани осталось

2 способ.
Ткань на палатки брали только из ПЕРВОГО куска.

1) 11*4=44(м) - пошло на 4 палатки
2) 48-44=4(м) - осталось ткани в первом куске
3) 4+46=50(м) - ткани осталось

3 способ.
Ткань на палатки брали только из ВТОРОГО куска.

1) 11*4=44(м)-пошло на 4 палатки
2) 46-44=2(м)-ткани осталось во втором куске
3) 2+ 48=50(м)-ткани осталось

Ответ : 50 метров ткани осталось.

Answer 2

(48+46)-(11x4)=50
48-(4x11)+46=50
46-(4x11)+48=50

Answer 3

Problem Analysis

We are given two pieces of fabric, one with a length of 48 meters and the other with a length of 46 meters. We need to sew 11 tents, and each tent requires 4 meters of fabric. We need to determine how much fabric is left after sewing all the tents.

Solution 1: Direct Calculation

To solve this problem, we can calculate the total fabric required for all the tents and subtract it from the total fabric available.

The total fabric required for all the tents can be calculated by multiplying the number of tents (11) by the fabric required for each tent (4 meters). Therefore, the total fabric required is 11 * 4 = 44 meters.

To find the fabric left, we subtract the total fabric required from the total fabric available. The total fabric available is the sum of the lengths of the two pieces of fabric: 48 meters + 46 meters = 94 meters.

Therefore, the fabric left is 94 meters - 44 meters = 50 meters.

Answer: The amount of fabric left after sewing all the tents is 50 meters.

Solution 2: Algebraic Approach

We can also solve this problem using algebraic equations.

Let's represent the length of the first piece of fabric as x and the length of the second piece of fabric as y.

We are given that x = 48 meters and y = 46 meters.

Each tent requires 4 meters of fabric, and we need to sew 11 tents. Therefore, the total fabric required is 4 * 11 = 44 meters.

The total fabric available is the sum of the lengths of the two pieces of fabric: x + y.

To find the fabric left, we subtract the total fabric required from the total fabric available: (x + y) - 44.

Substituting the given values, we have (48 + 46) - 44 = 94 - 44 = 50 meters.

Answer: The amount of fabric left after sewing all the tents is 50 meters.

Solution 3: Visualization

We can also solve this problem by visualizing the lengths of the fabric pieces and the fabric required for each tent.

Let's represent the first piece of fabric as a line segment with a length of 48 units and the second piece of fabric as a line segment with a length of 46 units.

Each tent requires 4 units of fabric. We need to sew 11 tents, so we can represent the fabric required for each tent as 11 line segments, each with a length of 4 units.

By visually subtracting the 11 line segments representing the fabric required for the tents from the total length of the two fabric pieces, we can determine the remaining fabric.

After subtracting the 11 line segments (each with a length of 4 units) from the total length of the two fabric pieces (48 + 46 units), we are left with a remaining length of 50 units.

Answer: The amount of fabric left after sewing all the tents is 50 meters.

Please let me know if you need any further assistance!