Question

Килограмм апельсинов дороже килограмма яблок на 16 рублей. За 5 кг апельсинов заплатили столько, сколько за 9 кг яблок. Сколько стоит 1 кг апельсинов? 1 кг яблок?

Answer 1

(Х+16)*5=9х
5х+80=9х
9х-5х=80
4х=80
Х=80/4=20 руб стоит 1 кг яблок
20+16=36 руб стоит 1 кг апельсин

Answer 2

9х=5(х+16), 9х=5х+80, 4х=80, х=20 ,20р.+яблоки, 20+16=36р. стоят апельсины

Answer 3

Let's assume the cost of 1 kilogram of oranges is x rubles and the cost of 1 kilogram of apples is y rubles.

From the given information, we have the following two equations:

1. x = y + 16 (The cost of 1 kg of oranges is 16 rubles more than the cost of 1 kg of apples).
2. 5x = 9y (The cost of 5 kg of oranges is equal to the cost of 9 kg of apples).

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

First, let's solve the equations simultaneously:

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

5(y + 16) = 9y

Now, distribute the 5 on the left side:

5y + 80 = 9y

Next, move the variables to one side and the constant term to the other side:

80 = 9y - 5y

80 = 4y

Now, solve for y:

y = 80 / 4

y = 20

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

x = y + 16

x = 20 + 16

x = 36

So, 1 kilogram of oranges costs 36 rubles, and 1 kilogram of apples costs 20 rubles.