Question

В трех букетах всего 15 роз.В первом и во втором вместе 8 роз,а во втором и в третьем вместе 12 роз.Сколько роз в каждом букете?

Answer 1

15-8=7роз в третем

15-12=3розы в первом

15-(7+3)=5роз во втором

Answer 2

Solution:

Let's solve this problem using a system of linear equations. We'll denote the number of roses in the first, second, and third bouquets as x, y, and z respectively.

We have the following information: 1. x + y = 8 (First and second bouquet together have 8 roses) 2. y + z = 12 (Second and third bouquet together have 12 roses) 3. x + z = 15 - y (Total roses in the first and third bouquet is 15)

We can solve these equations to find the values of x, y, and z.

Calculation:

From equation 1, we have x = 8 - y. Substitute this value of x into equation 3: (8 - y) + z = 15 - y Simplify: z = 7

Substitute the value of z into equation 2: y + 7 = 12 Solve for y: y = 5

Now that we have the value of y, we can find x using equation 1: x + 5 = 8 Solve for x: x = 3

Answer:

So, there are: - 3 roses in the first bouquet, - 5 roses in the second bouquet, and - 7 roses in the third bouquet.