Question

Для пошива костюма купили 3м.50 см.ткани двух видов.ткани первого вида купили на 1м.30см.больше,чем второго.можно ли сшить костюм из этой ткани,если на брюки нужно 2м.ткани первого вида,а на пиджак-1м.20см.ткани второго вида? букет роз в 3 раза дороже букета гвоздик.за букет роз заплатили на 50руб.больше,чемиза букет гвоздик.сколько букетов роз можно купить на 70руб.?

Answer 1

3м 50см -1м 30см=2м 30см первого вида,на брюки хватит,ещё останется лоскут 30см.
второго вида тоже хватит,останется 10см

Answer 2

Problem Analysis

To determine if it is possible to make a suit from the given fabric, we need to compare the total amount of fabric available with the amount required for the pants and jacket separately.

For the second part of the question, we need to determine the cost ratio between a bouquet of roses and a bouquet of carnations, and then calculate how many bouquets of roses can be purchased with a given budget.

Let's solve each part step by step.

Part 1: Suit Fabric Calculation

Given: - Total fabric purchased: 3m 50cm - Fabric of the first type purchased: 1m 30cm more than the fabric of the second type - Fabric required for pants (first type): 2m - Fabric required for jacket (second type): 1m 20cm

To determine if it is possible to make a suit, we need to compare the total fabric available with the fabric required for the pants and jacket separately.

Let's calculate the fabric available for each type:

- Fabric of the first type: x meters - Fabric of the second type: y meters

According to the given information, we have the following equations:

1. x + y = 3m 50cm (Equation 1) 2. x = y + 1m 30cm (Equation 2)

We can solve this system of equations to find the values of x and y.

Solving the System of Equations

Substituting Equation 2 into Equation 1, we get:

(y + 1m 30cm) + y = 3m 50cm

Simplifying the equation:

2y + 1m 30cm = 3m 50cm

Subtracting 1m 30cm from both sides:

2y = 2m 20cm

Dividing both sides by 2:

y = 1m 10cm

Substituting the value of y back into Equation 2:

x = (1m 10cm) + 1m 30cm

Simplifying the equation:

x = 2m 40cm

Therefore, we have:

- Fabric of the first type (x): 2m 40cm - Fabric of the second type (y): 1m 10cm

Now, let's compare the fabric available with the fabric required for the pants and jacket:

- Fabric required for pants (first type): 2m - Fabric required for jacket (second type): 1m 20cm

Comparing the fabric available with the fabric required:

- Fabric available for pants (first type): 2m 40cm - Fabric available for jacket (second type): 1m 10cm

Since the available fabric is greater than or equal to the required fabric for both the pants and jacket, it is possible to make a suit from this fabric.

Part 2: Bouquet Calculation

Given: - The cost ratio between a bouquet of roses and a bouquet of carnations is 3:1 - The cost of a bouquet of roses is 50 rubles more than the cost of a bouquet of carnations - The budget is 70 rubles

To determine how many bouquets of roses can be purchased with a budget of 70 rubles, we need to calculate the cost of a bouquet of carnations and the cost of a bouquet of roses.

Let's assume the cost of a bouquet of carnations is x rubles. According to the given information, the cost of a bouquet of roses is 3x + 50 rubles.

We can set up an equation to solve for x:

3x + 50 = x

Simplifying the equation:

2x = 50

Dividing both sides by 2:

x = 25

Therefore, the cost of a bouquet of carnations is 25 rubles.

Now, let's calculate the cost of a bouquet of roses:

3x + 50 = 3(25) + 50 = 75 + 50 = 125 rubles

The cost of a bouquet of roses is 125 rubles.

To determine how many bouquets of roses can be purchased with a budget of 70 rubles, we divide the budget by the cost of a bouquet of roses:

Number of bouquets of roses = 70 rubles / 125 rubles = 0.56

Since we cannot purchase a fraction of a bouquet, we can conclude that it is not possible to buy any bouquets of roses with a budget of 70 rubles.

Conclusion

1. It is possible to make a suit from the given fabric, as the available fabric is greater than or equal to the required fabric for both the pants and jacket. 2. It is not possible to buy any bouquets of roses with a budget of 70 rubles.

Please let me know if anything is unclear or if you need further assistance!