Question

Нурай заплатила за 3 линейки и 5 карандашей 2.3 маната.Цена одной линейки на 0.1 маната дороже цены одного карандаша.Сколько стоит одна линейка и один карандаш?

Answer 1

0.1×3=0.3
2.3-0.3=2
2:8=0.25ман.-цена одного карандаша
0.25+0.1=0.35ман цена одной линейки.
проверка:
(0.35×3)+(0.25×5)=1.05+1.25=2.3ман.

Answer 2

Solution:

To solve this problem, we can set up a system of equations based on the given information.

Let's denote the cost of one pencil as x and the cost of one ruler as y.

We are given the following information: 1. Nuray paid 2.3 manats for 3 rulers and 5 pencils. 2. The cost of one ruler is 0.1 manat more than the cost of one pencil.

We can express these pieces of information as equations:

1. 3y + 5x = 2.3 2. y = x + 0.1

Now, we can solve these equations to find the values of x and y.

Solving the Equations:

Substitute the value of y from the second equation into the first equation:

3(x + 0.1) + 5x = 2.3

Simplify the equation:

3x + 0.3 + 5x = 2.3 8x + 0.3 = 2.3 8x = 2.3 - 0.3 8x = 2 x = 2 / 8 x = 0.25

Now that we have the value of x, we can find the value of y using the second equation:

y = 0.25 + 0.1 y = 0.35

Answer:

So, the cost of one pencil is 0.25 manats and the cost of one ruler is 0.35 manats.