Question

Введите свой вопрос сюда В трёх маленьких и четырёх больших коробках 150 цветных карандашей, а в четырёх маленьких и трёх больших коробках 144 цветных карандаша. Сколько цветных карандашей в большой коробке?

Answer 1

х-маленькая коробка   у-большая
  

Answer 2

Допустим в 1 большой коробке-24к.в маленькой-18к.проверяем:24*4+18*3=15024*4=96;18*3=54;96+54=150.а в 4 маленьких и 3 больших 144 карандаша,проверяем:4*18+3*24=1444*18=72;3*24=72;72+72=144Ответ: 24 карандаша в большой коробке.(18 в маленькой)
а вопрос такой :Сколько карандашей в большой коробке?

Answer 3

Calculation of Colored Pencils in the Large Box

To determine the number of colored pencils in the large box, we can set up a system of equations based on the given information.

Let's assume: - x = the number of colored pencils in each small box - y = the number of colored pencils in each large box

According to the given information, we have the following equations:

Equation 1: 3 small boxes + 4 large boxes = 150 colored pencils Equation 2: 4 small boxes + 3 large boxes = 144 colored pencils

We can rewrite these equations as:

Equation 1: 3x + 4y = 150 Equation 2: 4x + 3y = 144

To solve this system of equations, we can use the method of substitution or elimination. Let's use the elimination method:

Multiplying Equation 1 by 4 and Equation 2 by 3, we get:

Equation 3: 12x + 16y = 600 Equation 4: 12x + 9y = 432

Subtracting Equation 4 from Equation 3, we eliminate x:

(12x + 16y) - (12x + 9y) = 600 - 432 7y = 168 y = 24

Now, we can substitute the value of y into Equation 1 to find x:

3x + 4(24) = 150 3x + 96 = 150 3x = 54 x = 18

Therefore, there are 18 colored pencils in the large box.

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