Question

Одна коробка конфет и 2 обертки абрикоса весят 550 г.Пять коробок конфет и 3 обертки абрикоса весят 1кг 700г.Сколько килограмм весят одна коробка одна коробка конфет и одна обертка абрикоса?

Answer 1

550 гр=0,55 кг
1 кг 700 гр=1,7 кг

1*х+2*у=0,55 ⇒х=0,55-2у
5*х+3*у=1,7

5*(0,55-2у)+3у=1,7
2,75-10у+3у=1,7
2,75-7у=1,7
7у=2,75-1,7
7у=1,05
у=0,15 кг=150 грамм абрикос
х=0,55-2*0,15=0,55-0,3=0,25 кг=250 грамм конфеты

Answer 2

Problem Analysis

We are given the following information: - One box of candies and two apricot wrappers weigh 550 grams. - Five boxes of candies and three apricot wrappers weigh 1 kilogram and 700 grams.

We need to find the weight of one box of candies, one box of candies, and one apricot wrapper.

Solution

Let's assume the weight of one box of candies is x grams and the weight of one apricot wrapper is y grams.

From the given information, we can form the following equations:

Equation 1: One box of candies + two apricot wrappers = 550 grams Equation 2: Five boxes of candies + three apricot wrappers = 1 kilogram and 700 grams (or 1700 grams)

We can now solve these equations to find the values of x and y.

Solving the Equations

Equation 1: One box of candies + two apricot wrappers = 550 grams x + 2y = 550

Equation 2: Five boxes of candies + three apricot wrappers = 1700 grams 5x + 3y = 1700

To solve these equations, we can use the method of substitution or elimination. Let's use the method of elimination.

Multiplying Equation 1 by 5 and Equation 2 by 1, we get:

5x + 10y = 2750 5x + 3y = 1700

Subtracting Equation 2 from Equation 1, we get:

7y = 1050 y = 150

Substituting the value of y into Equation 1, we get:

x + 2(150) = 550 x + 300 = 550 x = 250

Answer

Therefore, one box of candies weighs 250 grams, one box of candies and one apricot wrapper weigh 400 grams (250 grams + 150 grams), and one box of candies, one box of candies, and one apricot wrapper weigh 550 grams (250 grams + 250 grams + 150 grams).