Question

В 3 вазах стоят 27 тюльпанов Когда из первой вазы переставили 5 тюльпанов во вторую а из второй в третью 3 тюльпанов то во всех вазах стало поровну. Сколько тюльпанов было первоначально в каждой вазе

Answer 1

27/3=9т -стало в каждой вазе
первая -5  9+5=14 было
вторая+5-3  9-5+3=7 было
третья+3 9-3=6 было

Answer 2

Problem Analysis

We have three vases with a total of 27 tulips. By moving 5 tulips from the first vase to the second vase and then moving 3 tulips from the second vase to the third vase, we end up with an equal number of tulips in each vase. We need to determine the initial number of tulips in each vase.

Solution

Let's assume the initial number of tulips in the first vase is x, in the second vase is y, and in the third vase is z.

According to the given information, we can set up the following equations:

1. Equation 1: x + y + z = 27 (the total number of tulips) 2. Equation 2: (x - 5) + (y + 5 - 3) + (z + 3) = 27 (the number of tulips after rearranging)

Simplifying Equation 2, we get:

(x - 5) + (y + 2) + (z + 3) = 27 x + y + z = 27 + 5 - 2 - 3 x + y + z = 27 + 5 - 5 x + y + z = 27 + 0 x + y + z = 27

Comparing Equation 1 and Equation 2, we can see that they are the same. This means that the initial number of tulips in each vase remains the same after rearranging.

Therefore, the initial number of tulips in each vase is 9.

Answer

The initial number of tulips in each vase was 9.