Question

Иван купил в магазине волейбольный, футбольный и баскетбольный мячи. Футбольный стоил дороже волейбольного на 220 рублей. Баскетбольный стоил дороже футбольного на 155 рублей. Всего он потратил 3292 рубля. Сколько стоил каждый мяч?

Answer 1

Футбольный:х+220
баскетбольный:х+220+155
волейбольный:х
всего: 3292
х+220+х+220+155+х=3292
3х+595=3292
3х=3292-595
3х=2697
х=899
ответ 899 волейбольный, 1119футбольный, 1274 баскетбольный

Answer 2

Calculating the Cost of Each Ball

To solve this problem, we can use a system of equations to represent the given information and solve for the cost of each ball.

Let's denote the cost of the volleyball, football, and basketball as V, F, and B respectively.

We are given the following information: 1. F = V + 220 (The football cost 220 rubles more than the volleyball) 2. B = F + 155 (The basketball cost 155 rubles more than the football) 3. V + F + B = 3292 (The total cost of all three balls is 3292 rubles)

We can use these equations to solve for the cost of each ball.

Solving the Equations

Substituting the value of F from equation 1 into equation 2, we get: B = (V + 220) + 155 B = V + 375

Now, we can substitute the values of F and B into the total cost equation: V + (V + 220) + (V + 375) = 3292 3V + 595 = 3292 3V = 3292 - 595 3V = 2697 V = 899

Now that we have the value of V, we can find the values of F and B: F = V + 220 F = 899 + 220 F = 1119

B = V + 375 B = 899 + 375 B = 1274

Conclusion

So, the cost of each ball is: - Volleyball: 899 rubles - Football: 1119 rubles - Basketball: 1274 rubles