Question

ваня купил 3 набора марок.в первом наборе в 4 раза больше марок,чем во втором,а в третьем на 12 марок больше,чем в первом.если к первому набору добавить ещё 50 марок,то количество марок в нём будет равно количеству марок во втором и третьем наборах вместе.сколько марок было в каждом из купленных наборов?

Answer 1

х - во 2 альбоме, тогда

х+4х+12=4х+50

х=38 (2 альбом)

38*4=152 (1 альбом)

152+12=164 (3 альбом)

Answer 2

Problem Analysis

We are given the following information: - Vanya bought 3 sets of stamps. - The first set has 4 times more stamps than the second set. - The third set has 12 more stamps than the first set. - If 50 more stamps are added to the first set, the total number of stamps in the first set will be equal to the total number of stamps in the second and third sets combined.

We need to determine the number of stamps in each of the purchased sets.

Solution

Let's assume: - The number of stamps in the second set is x. - The number of stamps in the first set is 4x. - The number of stamps in the third set is 4x + 12.

According to the given information, if 50 more stamps are added to the first set, the total number of stamps in the first set will be equal to the total number of stamps in the second and third sets combined. This can be expressed as the equation:

(4x + 50) = (x + 4x + 12)

Simplifying the equation: (4x + 50) = (5x + 12) 50 - 12 = 5x - 4x 38 = x

Therefore, the number of stamps in the second set (x) is 38.

Substituting the value of x back into the equations, we can find the number of stamps in the first and third sets: - The number of stamps in the first set = 4x = 4 * 38 = 152 - The number of stamps in the third set = 4x + 12 = 4 * 38 + 12 = 160

So, the number of stamps in each of the purchased sets is as follows: - First set: 152 stamps - Second set: 38 stamps - Third set: 160 stamps

Please let me know if I can help you with anything else.