Question

Карандаш дешевле ручки в 1 1/3 раза,а ручка дороже карандаша на 8 рублей.сколько стоит карандаш и ручка?

Answer 1

Х рублей - цена карандаша
1 1/3 х - цена ручки
1)  х+8=1 1/3 х
     -1/3 х = -8
    х=8:1/3
    х=24
2)  24+8=32(рубля)
Ответ: 24 рубля стоит карандаш и 32 рубля стоит ручка
     

Answer 2

Calculation of the Cost of the Pencil and Pen

To calculate the cost of the pencil and pen, we can use the given information that the pencil is cheaper than the pen by 1 1/3 times, and the pen is more expensive than the pencil by 8 rubles.

Let's assign variables to the cost of the pencil and pen: - Let x be the cost of the pencil. - Let y be the cost of the pen.

Based on the given information, we can set up the following equations:

Equation 1: The pencil is cheaper than the pen by 1 1/3 times: x = (4/3)y Equation 2: The pen is more expensive than the pencil by 8 rubles: y = x + 8

To find the values of x and y, we can solve these two equations simultaneously.

Substituting Equation 1 into Equation 2, we get: (4/3)y = y + 8

Simplifying the equation: (4/3)y - y = 8 (1/3)y = 8

Multiplying both sides of the equation by 3: y = 24

Substituting the value of y back into Equation 1: x = (4/3)(24) x = 32

Therefore, the cost of the pencil is 32 rubles and the cost of the pen is 24 rubles.