Question

В мебельной мастерской 981 м ткани.На обивку кресел израсходовали 5/9 всей ткани,а на обивку стульев - 1/5 оставшейся ткани.Сколько всего ткани израсходовали на обивку кресел и стульев?

Answer 1

1) 981 : 9 * 5 = 545м ткани на обивку кресел

2) 981 - 645 = 436м осталось после того, как обили кресла

3) 436 : 5 *1 = 87 м 20см на обивку стульев

4) 87,20 + 545 = 632 м. 20 см ткани израсходовали на обивку кресел и стульев

Answer 2

Calculation of Fabric Used for Upholstery

To calculate the total amount of fabric used for upholstery in the furniture workshop, we need to consider the proportions used for chairs and armchairs.

According to the information provided, 5/9 of the total fabric was used for the armchair upholstery, and 1/5 of the remaining fabric was used for the chair upholstery.

Let's calculate the total amount of fabric used for both armchairs and chairs.

Calculation for Armchairs:

To find the amount of fabric used for armchairs, we multiply the total fabric by the fraction used for armchair upholstery:

5/9 * Total Fabric

Calculation for Chairs:

To find the amount of fabric used for chairs, we multiply the remaining fabric (after armchair upholstery) by the fraction used for chair upholstery:

1/5 * (Total Fabric - (5/9 * Total Fabric))

Total Fabric Used:

To find the total amount of fabric used for both armchairs and chairs, we add the amounts calculated for armchairs and chairs:

Total Fabric Used = (5/9 * Total Fabric) + (1/5 * (Total Fabric - (5/9 * Total Fabric)))

Now, we can solve the equation to find the total amount of fabric used for upholstery in the furniture workshop.

Let's assume the total fabric used for upholstery is represented by the variable "x".

Total Fabric Used = (5/9 * x) + (1/5 * (x - (5/9 * x)))

Simplifying the equation:

Total Fabric Used = (5/9 * x) + (1/5 * (4/9 * x))

Total Fabric Used = (5/9 * x) + (4/45 * x)

Total Fabric Used = (25/45 * x) + (4/45 * x)

Total Fabric Used = (29/45 * x)

Therefore, the total amount of fabric used for upholstery in the furniture workshop is 29/45 of the total fabric available.

Please note that the specific value of "x" (the total amount of fabric) is not provided in the question, so we cannot determine the exact quantity of fabric used. However, we can conclude that 29/45 of the total fabric was used for upholstery based on the given proportions.