Question

3 ручки и 5 карандашей стоили 93 рубля, сколько стоили ручки и карандаши если карандаши на 7 рублей дешевле ручек? Решите задачу уравнением. ПОМОГЕ, ПОЖАЛУЙСТА. ​

Answer 1

Х=16
16*3 = 48 карандаши
16-7= 9
9*5=45 ручки

Answer 2

Problem Analysis

We are given that 3 pens and 5 pencils cost 93 rubles. We need to find the cost of pens and pencils if the pencils are 7 rubles cheaper than the pens. We can solve this problem using an equation.

Mathematical Solution

Let's assume the cost of one pen is x rubles. Since the pencils are 7 rubles cheaper than the pens, the cost of one pencil would be x - 7 rubles.

According to the given information, 3 pens and 5 pencils cost 93 rubles. We can write this as an equation:

3x + 5(x - 7) = 93

Now, let's solve this equation to find the value of x.

Solving the Equation

Expanding the equation, we get:

3x + 5x - 35 = 93

Combining like terms, we have:

8x - 35 = 93

Adding 35 to both sides of the equation, we get:

8x = 128

Dividing both sides of the equation by 8, we find:

x = 16

Answer

The cost of one pen is 16 rubles. Since the pencils are 7 rubles cheaper, the cost of one pencil is 16 - 7 = 9 rubles.

Therefore, the pens cost 16 rubles each and the pencils cost 9 rubles each.