Question

4. В первой вазе лежало в 3 раза больше конфет, чем в третьей, во второй вазе — на 5 конфеты больше, чем в третьей. Сколько конфет лежало в первой вазе, если в этих вазах было всего 165 конфет?

Answer 1

Ответ:

.......................

Answer 2

Ответ:))))

в 1 вазе лежало 96 конфет

Пошаговое объяснение:

Пусть х - всего конфет в 3 вазе, тогда 3х - всего в 1 вазе, а во 2 вазе - (х+5) конфет. Составим и решим уравнение, зная, что всего было 165 конфет:

х+3х+х+5=165

5х=165-5

5х=160

х=160:5

х=32 конфеты в 3 вазе

в 1 вазе: 3х=32*3=96 конфет

во 2 вазе: х+5=32+5=37 конфет

Answer 3

Solving the Problem of Candy Distribution in Vases

To solve the problem, we can use a system of equations to represent the given information and then solve for the number of candies in each vase.

Let's denote: - x as the number of candies in the first vase, - y as the number of candies in the second vase, and - z as the number of candies in the third vase.

We are given the following information: 1. In the first vase, there were 3 times more candies than in the third vase. 2. In the second vase, there were 5 more candies than in the third vase. 3. The total number of candies in all three vases is 165.

Formulating Equations

Based on the given information, we can create the following equations: 1. x = 3z (The number of candies in the first vase is 3 times the number in the third vase) 2. y = z + 5 (The number of candies in the second vase is 5 more than the number in the third vase) 3. x + y + z = 165 (The total number of candies in all three vases is 165)

Solving the Equations

Substitute the expressions for x and y from the first two equations into the third equation: - 3z + (z + 5) + z = 165 - 5z + 5 = 165 - 5z = 160 - z = 32

Now that we have found the value of z, we can find the values of x and y: - x = 3z = 3*32 = 96 - y = z + 5 = 32 + 5 = 37

Conclusion

Therefore, there were 96 candies in the first vase, 37 candies in the second vase, and 32 candies in the third vase, making a total of 165 candies.