Question

Саша и Дима купили 20 солдатиков по одинаковой цене.Саша заплатил 720рублей,а Дима на 240 руб. меньше .Сколько солдатиков купил каждый из них? 9 пирожных,имеющих одну цену,стоят 234 руб.Сколько рублей надо заплатить за 7 таких пирожных? Мама сначала купила 3 кг яблок по цене 40 руб.за килограмм,а потом ещё 2 кг таких же яблок. Сколько денег она заплатила?

Answer 1

2.
1) 234:9=26(руб.) стоит 1 пирожное.
2) 26*7=182(руб.) стоит 7 пирожных.
Ответ: 182 рубля надо заплатить за 7 таких пирожных.

Answer 2

Problem 1: Sasha and Dima's Toy Soldiers

Sasha and Dima bought 20 toy soldiers at the same price. Sasha paid 720 rubles, while Dima paid 240 rubles less. We need to find out how many toy soldiers each of them bought.

To solve this problem, we can set up a system of equations. Let's assume the price of each toy soldier is x rubles.

Let's denote the number of toy soldiers Sasha bought as S, and the number of toy soldiers Dima bought as D.

From the given information, we can set up the following equations:

Equation 1: S + D = 20 (since they bought a total of 20 toy soldiers) Equation 2: S * x = 720 (since Sasha paid 720 rubles) Equation 3: D * x = 720 - 240 = 480 (since Dima paid 240 rubles less)

We can solve this system of equations to find the values of S and D.

Let's solve Equation 1 for S: S = 20 - D

Substituting this value of S into Equation 2: (20 - D) * x = 720

Simplifying Equation 2: 20x - Dx = 720

Now, let's solve Equation 1 for D: D = 20 - S

Substituting this value of D into Equation 3: (20 - S) * x = 480

Simplifying Equation 3: 20x - Sx = 480

Now we have a system of two equations with two variables (x and S). We can solve this system to find the values of x, S, and D.

Let's solve the system of equations:

20x - Dx = 720 20x - (20 - S)x = 720 20x - 20x + Sx = 720 Sx = 720

Simplifying further: Sx = 720 S = 720 / x

Substituting this value of S into Equation 1: 720 / x + D = 20 D = 20 - 720 / x

Now we have expressions for S and D in terms of x. We can substitute these expressions into Equation 3:

(20 - S) * x = 480 (20 - 720 / x) * x = 480 20x - 720 = 480 20x = 480 + 720 20x = 1200 x = 1200 / 20 x = 60

Now we know that the price of each toy soldier is 60 rubles.

Substituting this value of x into the expressions for S and D:

S = 720 / 60 = 12 D = 20 - 720 / 60 = 8

Therefore, Sasha bought 12 toy soldiers and Dima bought 8 toy soldiers.

Answer: Sasha bought 12 toy soldiers and Dima bought 8 toy soldiers.

Problem 2: Cost of 7 Cakes

We are given that 9 cakes with the same price cost 234 rubles. We need to find out how much it would cost to buy 7 cakes.

Let's assume the price of each cake is x rubles.

From the given information, we can set up the following equation:

Equation: 9x = 234 (since 9 cakes cost 234 rubles)

We can solve this equation to find the value of x, which is the price of each cake.

Let's solve the equation:

9x = 234 x = 234 / 9 x ≈ 26

Now we know that the price of each cake is approximately 26 rubles.

To find out how much it would cost to buy 7 cakes, we can multiply the price of each cake by the number of cakes:

Cost of 7 cakes = 7 * x = 7 * 26 = 182 rubles

Answer: It would cost 182 rubles to buy 7 cakes.

Problem 3: Cost of Apples

We are given that initially, the mother bought 3 kg of apples at a price of 40 rubles per kilogram. Then she bought an additional 2 kg of apples at the same price. We need to find out how much money she paid in total.

Let's denote the price per kilogram of apples as x rubles.

From the given information, we can set up the following equation:

Equation: (3 + 2) * x = total cost (since she bought 3 kg initially and 2 kg additionally)

We can solve this equation to find the value of the total cost.

Let's solve the equation:

(3 + 2) * x = total cost 5x = total cost

Now we need to find the value of x, which is the price per kilogram of apples. We are given that the price per kilogram is 40 rubles.

Substituting this value into the equation:

5 * 40 = total cost 200 = total cost

Therefore, the mother paid a total of 200 rubles for the apples.

Answer: The mother paid 200 rubles in total for the apples.