Question

Купили 3 кг печенья и 2 кг конфет и заплатили за покупку 95 грн.Сколько стоиткилограмм печенья и сколько стоит килограмм конфет,еслт конфеты дороже печенья на 10 грн?

Answer 1

Пусть 1 кг печенья стоит х грн., тогда 1 кг конфет стоит (х+10) грн. За 3 кгг печенья заплатили 3х грн., а за 2 кг конфет заплатили 2(х+10) грн. Т. к. за всю покупку заплатили 95 грн., то составим и решим уравнение:
3х+2(х+10)=95,
3х+2х+20=95,
5х+20=95,
5х=95-20,
5х=75,
х=75:5,
х=15.
Значит, 1 кг печенья стоит 15 грн., а 1 кг конфет - 25 грн.

Answer 2

Calculating the Cost per Kilogram of Cookies and Candy

To solve this problem, we can use a system of equations to represent the given information and find the cost per kilogram of cookies and candy.

Let's denote: - x as the cost per kilogram of cookies - y as the cost per kilogram of candy

We have the following information: 1. 3 kilograms of cookies and 2 kilograms of candy were purchased for a total of 95 UAH. 2. The cost per kilogram of candy is 10 UAH more than the cost per kilogram of cookies.

We can express this information in the form of equations and solve for the cost per kilogram of cookies and candy.

Setting Up the Equations

The first equation represents the total cost of the purchase: - 3x + 2y = 95

The second equation represents the relationship between the cost per kilogram of candy and cookies: - y = x + 10

Solving the System of Equations

We can solve this system of equations to find the cost per kilogram of cookies and candy.

Substitute the value of y from the second equation into the first equation: - 3x + 2(x + 10) = 95 - 3x + 2x + 20 = 95 - 5x + 20 = 95 - 5x = 75 - x = 15

Now that we have found the value of x, we can calculate the cost per kilogram of candy using the second equation: - y = 15 + 10 - y = 25

Answer

- The cost per kilogram of cookies is 15 UAH. - The cost per kilogram of candy is 25 UAH.