Question

А) 8 м сукна стоят столько же,сколько стоят 63 м ситца.Сколько метров ситца можно купить вместо 14 м сукна? б)один килограмм металлолома заменяет 2,5 кг железной руды.Сколько руды заменяют 4 т металлолома ? в)для приготовления каши на 1 стакан молока требуется 2 столовых ложки крупы.Сколько нужно взять стаканов молока,чтобы приготовить кашу из 6 столовых ложек крупы? только пишите с пояснениями ,и не копируйте с интернета !

Answer 1

А) пропорция
8-63
14-х
х=14*63/8=7*63/4=441/4=110,25м

б)
1-2,5
4000-х
х=4000*2,5/1=10000кг=10т

в)
1-2
х-6
х=6*1/2=3стакана

Answer 2

Task A: Calculating the Amount of Sateen Fabric

To find out how many meters of sateen fabric can be bought instead of 8 meters of suiting fabric, we need to determine the cost ratio between the two fabrics.

Let's assume that the cost of 8 meters of suiting fabric is equal to the cost of 63 meters of sateen fabric.

To find the cost per meter of each fabric, we can divide the total cost by the number of meters:

- Cost per meter of suiting fabric = Total cost of suiting fabric / Number of meters of suiting fabric - Cost per meter of sateen fabric = Total cost of sateen fabric / Number of meters of sateen fabric

Since the cost per meter is the same for both fabrics, we can set up the following equation:

Cost per meter of suiting fabric = Cost per meter of sateen fabric

Let's represent the cost per meter of suiting fabric as "x" and the number of meters of sateen fabric as "y."

We have the following equations:

x = Total cost of suiting fabric / 8 x = Total cost of sateen fabric / 63

Since x is equal to x, we can set up the equation:

Total cost of suiting fabric / 8 = Total cost of sateen fabric / 63

To find the number of meters of sateen fabric that can be bought instead of 14 meters of suiting fabric, we can use the equation:

y = (Total cost of sateen fabric / 63) * 14

Now, let's solve the equations step by step.

1. Calculate the cost per meter of suiting fabric (x): - We don't have the actual cost values, so we cannot calculate the exact cost per meter. However, we can use the given information to find the ratio between the two fabrics. - Let's assume the cost per meter of suiting fabric is "a" and the cost per meter of sateen fabric is "b." - We can set up the equation: a / 8 = b / 63 - Simplifying the equation, we get: a = (8/63) * b

2. Calculate the number of meters of sateen fabric that can be bought instead of 14 meters of suiting fabric (y): - We can use the equation: y = (b / 63) * 14 - Substituting the value of "a" from the previous step, we get: y = ((8/63) * b / 63) * 14 - Simplifying the equation, we get: y = (8/63) * b * (14/63)

Since we don't have the actual cost values, we cannot calculate the exact number of meters of sateen fabric. However, we can use the given information to find the ratio between the two fabrics.

Please note that the above calculations are based on the assumption that the cost per meter is the same for both fabrics. If the actual cost values are provided, the calculations can be adjusted accordingly.

Task B: Calculating the Amount of Iron Ore Replaced by Scrap Metal

To find out how much iron ore is replaced by 4 tons of scrap metal, we need to determine the ratio between the two materials.

Let's assume that 1 kilogram of scrap metal replaces 2.5 kilograms of iron ore.

To find the amount of iron ore replaced by 4 tons of scrap metal, we can use the following equation:

Amount of iron ore replaced = (Amount of scrap metal / 1000) * 2.5

Let's calculate the amount of iron ore replaced:

Amount of iron ore replaced = (4,000 / 1000) * 2.5 = 10,000 kilograms of iron ore

Therefore, 4 tons of scrap metal would replace 10,000 kilograms of iron ore.

Task C: Calculating the Amount of Milk Required for Cooking Porridge

To calculate the amount of milk needed to cook porridge with 6 tablespoons of cereal, we need to determine the ratio between the two ingredients.

Let's assume that 1 cup of milk is required for 2 tablespoons of cereal.

To find the amount of milk needed for 6 tablespoons of cereal, we can use the following equation:

Amount of milk needed = (Number of tablespoons of cereal / 2) * 1 cup

Let's calculate the amount of milk needed:

Amount of milk needed = (6 / 2) * 1 cup = 3 cups of milk

Therefore, to cook porridge with 6 tablespoons of cereal, you would need 3 cups of milk.

Please note that the above calculations are based on the assumption that the ratio between milk and cereal remains constant. The actual amount of milk required may vary depending on the desired consistency of the porridge and personal preference.