Question

Три арбуза вместе весят 17 кг, при этом второй арбуз в 1 1/3 раза тяжелее, чем первый, а третий - на 2 кг тяжелее чем второй. Сколько весит каждый арбуз?

Answer 1

X+11/3x+11/3x+2=17
8. 1/3x+2=17
8.1/3x=17-2
8.1/3x=15
X=15:8.1/3
X=1.8
X-первый арбуз
11/3-второй арбуз
11/3+2-третий арбуз
17-целое
1.8=9/5
второе действие-11/3 умножить на 9/5=6.6-второй арбуз
6.6+2=8.6- третий арбуз

Answer 2

Problem Analysis

We are given that three watermelons together weigh 17 kg. The second watermelon is 1 1/3 times heavier than the first, and the third watermelon is 2 kg heavier than the second. We need to find the weight of each watermelon.

Solution

Let's assume the weight of the first watermelon is x kg.

According to the given information: - The second watermelon is 1 1/3 times heavier than the first. This can be expressed as 1 1/3 * x kg. - The third watermelon is 2 kg heavier than the second. This can be expressed as 1 1/3 * x + 2 kg.

The sum of the weights of all three watermelons is 17 kg. Therefore, we can write the equation:

x + 1 1/3 * x + (1 1/3 * x + 2) = 17

Now, let's solve this equation to find the weight of each watermelon.

Calculation

To solve the equation, we can simplify it as follows:

x + 1 1/3 * x + 1 1/3 * x + 2 = 17

Combining like terms:

3 1/3 * x + 2 = 17

Subtracting 2 from both sides:

3 1/3 * x = 15

To simplify the equation, we can convert the mixed number to an improper fraction:

10/3 * x = 15

Now, let's solve for x by dividing both sides of the equation by 10/3:

x = 15 / (10/3)

Simplifying the division:

x = 45/10

Converting the fraction to a decimal:

x = 4.5

So, the weight of the first watermelon is 4.5 kg.

To find the weights of the second and third watermelons, we can substitute the value of x back into the expressions we derived earlier:

- The weight of the second watermelon is 1 1/3 * 4.5 = 6 kg. - The weight of the third watermelon is 1 1/3 * 4.5 + 2 = 8 kg.

Therefore, the weights of the three watermelons are as follows: - The first watermelon weighs 4.5 kg. - The second watermelon weighs 6 kg. - The third watermelon weighs 8 kg.

Answer

The weights of the three watermelons are as follows: - The first watermelon weighs 4.5 kg. - The second watermelon weighs 6 kg. - The third watermelon weighs 8 kg.