Question

На оптовом рынке за 3 килограмма яблок и 5 кг бананов заплатили 154 руб. в магазине 1 кг яблок на 7 руб дороже, а 1 кг бананов на 4 руб. дороже чем на оптовом рынке, поэтому два килограмма яблок и 4 килограмма бананов стоит 146 руб. Найдите оптовую цену 1 килограмм яблок и 1 килограмма бананов. Срочно

Answer 1

Оптовая цена яблок х руб, а бананов у
тогда
3x+5y=154
в магазине
2(х+7)+4(у+4)=146
решаем эту систему
y=(154-3x)/5
2(x+7)+4((154-3x)/5+4)=146
2x+616/5-12x/5=116
10x+616-12x=580
2x=36
x=18
y=(154-3*18)/5=100/5=20

Answer 2

Calculating Wholesale Prices of Apples and Bananas

To find the wholesale price of 1 kilogram of apples and 1 kilogram of bananas, we can use the given information about the prices at the wholesale market and in the store.

Let's denote: - x as the price of 1 kilogram of apples at the wholesale market - y as the price of 1 kilogram of bananas at the wholesale market

According to the given information: 1. At the wholesale market, 3 kilograms of apples and 5 kilograms of bananas were bought for 154 rubles. 2. In the store, 1 kilogram of apples is 7 rubles more expensive than at the wholesale market, and 1 kilogram of bananas is 4 rubles more expensive than at the wholesale market. 3. In the store, 2 kilograms of apples and 4 kilograms of bananas cost 146 rubles.

We can set up the following system of equations to solve for x and y:

Equation 1: 3x + 5y = 154 (total cost at the wholesale market) Equation 2: 2(x + 7) + 4(y + 4) = 146 (total cost in the store)

Let's solve this system of equations to find the wholesale prices of apples and bananas.

Solving the System of Equations

We can start by solving Equation 1 for x and then substitute the value of x into Equation 2 to solve for y.

Equation 1: 3x + 5y = 154 Equation 2: 2(x + 7) + 4(y + 4) = 146

Calculating the Wholesale Prices

Let's solve for x and y using the system of equations.