Question

за 3 ручки и 5 карандашей заплатили 137 тг. карандаш дешевле ручки на 11 тг. сколько стоит карандаш? сколько стоит ручка?

Answer 1

Пошаговое объяснение:

Пусть x это цена Карандаша, тогда цена ручки =x+11, 5x это цена 5 карандашей, тогда 3(x+11) это цена 3 ручек

Составим и решим уравнение:

1)5x+3(x+11) =137

5x+3x+3*11=137

5x+3x+33=137

5x+3x=137-33

8x=104

X=104:8

X=13(р) -это цена 1 карандаша

2) 11+13=24(р) -это цена 1 ручки

Ответ:13 р, 24р.

Answer 2

Problem Analysis

We are given that 3 pens and 5 pencils were purchased for a total of 137 tenge. It is also mentioned that the pencils are 11 tenge cheaper than the pens. We need to find the individual prices of the pencil and the pen.

Solution

Let's assume the price of a pencil is x tenge. Since the pencils are 11 tenge cheaper than the pens, the price of a pen would be x + 11 tenge.

We can now set up the equation based on the given information: 3 pens + 5 pencils = 137 tenge

Using the prices we assumed, we can write the equation as: (3 * (x + 11)) + (5 * x) = 137

Simplifying the equation: 3x + 33 + 5x = 137 8x + 33 = 137 8x = 137 - 33 8x = 104 x = 104 / 8 x = 13

Therefore, the price of a pencil is 13 tenge and the price of a pen is 13 + 11 = 24 tenge.

Answer

The pencil costs 13 tenge and the pen costs 24 tenge.