Question

В трех коробках лежит 132 карандаша, причем во второй коробке их в 1,5 раза больше, чем в первой, а в третьей – в 4 раза меньше, чем в первой. Сколько карандашей лежит в каждой коробке?

Answer 1

1)132:3=44
2)44:1,5=29,334
3)44:4=11

Answer 2

Problem Analysis

We are given three boxes of pencils. The second box contains 1.5 times more pencils than the first box, and the third box contains 4 times fewer pencils than the first box. We need to determine the number of pencils in each box.

Solution

Let's assume the number of pencils in the first box is x.

According to the given information: - The second box contains 1.5 times more pencils than the first box, so the number of pencils in the second box is 1.5x. - The third box contains 4 times fewer pencils than the first box, so the number of pencils in the third box is x/4.

Therefore, we have the following equation: x + 1.5x + x/4 = 132

To solve this equation, we can combine like terms and solve for x.

Calculation

Let's solve the equation to find the value of x:

x + 1.5x + x/4 = 132

Combining like terms: 2.75x + x/4 = 132

Multiplying both sides of the equation by 4 to eliminate the fraction: 11x + x = 528

Combining like terms: 12x = 528

Dividing both sides of the equation by 12: x = 44

Answer

Therefore, there are 44 pencils in the first box, 1.5 * 44 = 66 pencils in the second box, and 44/4 = 11 pencils in the third box.