Question

В магазине было 160 кг карпов и карасей. Масса всех карпов составляла 60% от массы карасей. Сколько (в килограммах) карпов и карасей было в магазине?

Answer 1

Ответ:

Пошаговое объяснение:

60% = 60 : 100 = 0,6

Караси = х кг

Карпы = 0,6х кг

Всего = 160 кг

х + 0,6х = 160

1,6х = 160

х = 160 : 1,6

х = 100

Караси = (х) = 100 кг

Карпы = (0,6х) = 100 * 0,6 = 60 кг

100 + 60 = 160

Ответ: 100кг; 60кг

Answer 2

Calculation of the Mass of Carp and Crucian Carp in the Store

To find the mass of carp and crucian carp in the store, we need to use the information given in the question. Let's break down the problem step by step:

1. The total mass of carp and crucian carp in the store is 160 kg. 2. The mass of all carp is 60% of the mass of crucian carp.

Let's denote the mass of carp as x kg and the mass of crucian carp as y kg.

From the given information, we can set up the following equations:

1. x + y = 160 (equation 1) 2. x = 0.6y (equation 2)

To solve this system of equations, we can substitute equation 2 into equation 1:

0.6y + y = 160

Simplifying the equation:

1.6y = 160

Dividing both sides by 1.6:

y = 100

Now, we can substitute the value of y back into equation 2 to find the value of x:

x = 0.6 * 100 = 60

Therefore, there were 60 kg of carp and 100 kg of crucian carp in the store.