Question

Обед в столовой состоит из салата борща котлет и компота. Салат стоит 24 р . Стоимость борща 25% стоимости всего обеда. Котлеты на 60%дороже борща а компот на 16 р дешевле борща. сколько стоит обед?

Answer 1

Возьмем цену всего обеда за х.
Тогда:
Цена борща х/100*25=0,25х
Котлета 0,25х/100*160=0,4х
компот 0,25х-16
салат 24 р
Получаем уравнение:
0,25х+0,4х+0,25х-16+24=х
0,9х+8=х
х-0,9х=8
0,1х=8 
х=8/0,1
х=80  
Обед стоил 80 рублей

Answer 2

X----весь обед
24-----салат
0,25x----борщ
0,25x*1,6=0,4x----котлета
025x-16-----компот
24+0,25x+0,4x+0,25x-16=X
8+0,9x=X
X-0,9x=8
0,1x=8
x=80руб стоит обед

Answer 3

Calculation of the Cost of Lunch

To calculate the cost of lunch, we need to determine the individual prices of each item on the menu: salad, borscht, cutlets, and compote. Let's break down the given information step by step:

1. The cost of the salad is 24 rubles. 2. The cost of the borscht is 25% of the total cost of the lunch. 3. The cutlets are 60% more expensive than the borscht. 4. The compote is 16 rubles cheaper than the borscht.

Let's calculate the cost of each item:

1. Salad: The cost of the salad is given as 24 rubles.

2. Borscht: The cost of the borscht is 25% of the total cost of the lunch. Let's assume the total cost of the lunch is x rubles. Therefore, the cost of the borscht is 0.25x rubles.

3. Cutlets: The cutlets are 60% more expensive than the borscht. This means the cost of the cutlets is 1.6 times the cost of the borscht. Therefore, the cost of the cutlets is 1.6 * 0.25x = 0.4x rubles.

4. Compote: The compote is 16 rubles cheaper than the borscht. Therefore, the cost of the compote is 0.25x - 16 rubles.

To find the total cost of the lunch, we add up the costs of all the items:

Total cost = Salad + Borscht + Cutlets + Compote

Total cost = 24 rubles + 0.25x rubles + 0.4x rubles + (0.25x - 16) rubles

Simplifying the equation:

Total cost = 24 rubles + 0.25x rubles + 0.4x rubles + 0.25x rubles - 16 rubles

Total cost = 0.9x + 8 rubles

Therefore, the cost of the lunch is 0.9x + 8 rubles.

Please note that we were unable to find specific prices for the borscht, cutlets, and compote. The given information only provides relative prices and does not specify the value of x.