Question

Катя сделала ожерелье из красных,синих и белых бусин. красных бусин в 5 раз меньше,чем синих,и в 3 раза меньше,чем белых.сколько бусин каждого, цвета если синих больше ,чем белых,на 12 бусин?

Answer 1

Красных-хб
Синих-5хб
Белых-3хб
5х-3х=12
2х=12
х=12:2
х=6-красных
6*5=30-синих
6*3=18-белых

Answer 2

Problem Analysis

Катя сделала ожерелье из красных, синих и белых бусин. Количество красных бусин в 5 раз меньше, чем синих, и в 3 раза меньше, чем белых. Синих бусин больше, чем белых, на 12 бусин. Нам нужно определить количество бусин каждого цвета.

Solution

Let's assume the number of red beads is represented by r, the number of blue beads is represented by b, and the number of white beads is represented by w.

We are given the following information: - The number of red beads is 5 times less than the number of blue beads: r = b/5. - The number of red beads is 3 times less than the number of white beads: r = w/3. - The number of blue beads is 12 more than the number of white beads: b = w + 12.

To find the values of r, b, and w, we can use these equations.

Solving the Equations

Let's substitute the value of r from the first equation into the second equation: b/5 = w/3.

Now, let's substitute the value of b from the third equation into the second equation: (w + 12)/5 = w/3.

To solve this equation, we can cross-multiply: 3(w + 12) = 5w.

Expanding the equation: 3w + 36 = 5w.

Simplifying the equation: 36 = 2w.

Dividing both sides by 2: w = 18.

Now that we have the value of w, we can substitute it back into the third equation to find the value of b: b = w + 12 = 18 + 12 = 30.

Finally, we can substitute the values of w and b into the first equation to find the value of r: r = b/5 = 30/5 = 6.

Therefore, the number of red beads is 6, the number of blue beads is 30, and the number of white beads is 18.

Answer

Количество бусин каждого цвета следующее: - Красных бусин: 6 - Синих бусин: 30 - Белых бусин: 18

Please let me know if there is anything else I can help you with!