Question

Ослик Иа-Иа взял с собой некоторую сумму денег для покупки шнурка вместо потерянного хвоста. Если он купит шнурок по 40,8руб. За один метр то у него не хватит 0,15 а если он купит шнурок по 40,2руб. За один метр то у него останется 0,3руб. Найдите длину шнурка который понадобился Иа-Иа. И сколько у него было денег. (сделайте таблицу и уравнение)

Answer 1

Длина - 1 метр, 45 рублей у него останется

Answer 2

Problem Analysis and Solution

To solve this problem, we need to find the length of the shoelace (шнурок) that Ia-Ia needed and the amount of money he had. We are given two scenarios: 1. If he buys the shoelace at 40.8 rubles per meter, he will be short of 0.15 rubles. 2. If he buys the shoelace at 40.2 rubles per meter, he will have 0.3 rubles left.

Let's denote the length of the shoelace as x meters and the amount of money Ia-Ia had as y rubles. We can create the following table to represent the given information:

| Scenario | Price per meter (rubles) | Shortage/Leftover money (rubles) | |----------|---------------------------|-----------------------------------| | 1 | 40.8 | -0.15 | | 2 | 40.2 | 0.3 |

Now, we can set up the equations based on the given scenarios.

Equations

Let's denote: - x as the length of the shoelace in meters - y as the amount of money Ia-Ia had in rubles

From the given scenarios, we can create the following equations:

1. When the price per meter is 40.8 rubles: - 40.8x - y = -0.15 (Equation 1)

2. When the price per meter is 40.2 rubles: - 40.2x + 0.3 = y (Equation 2)

Now, we can solve these equations to find the length of the shoelace and the amount of money Ia-Ia had.

Solving the Equations

We can solve the system of equations using the substitution method or any other preferred method to find the values of x and y.

Let's proceed with solving the equations to find the values of x and y.