Question

Арбуз,дыня и тыква весят 24 кг.Найдите массу арбуза,дыни и тыквы,если отношение массы арбуза к массе дыни равна 4:3,а тыква тяжелее арбуза на 2 кг.

Answer 1

арбуз весит 4х, дыня 3 х, тыква 4х+2, тогда
4х+3х+4х+2=24
11х=24-2
11х=22
х=2, значит арбуз весит 2×4=8 кг; дыня=3×2=6 кг; тыква 8+2=10 кг
Проверка: 8+6+10=24
24=24
Ответ: масса арбуза=8кг;
дыни=6 кг;
тыквы=10 кг

Answer 2

Calculation of the Mass of Watermelon, Cantaloupe, and Pumpkin

To find the mass of the watermelon, cantaloupe, and pumpkin, we need to use the given information:

1. The total weight of the three fruits is 24 kg. 2. The ratio of the watermelon's mass to the cantaloupe's mass is 4:3. 3. The pumpkin is 2 kg heavier than the watermelon.

Let's solve this step by step:

1. Let's assume the mass of the watermelon as 4x (where x is a constant). 2. According to the given ratio, the mass of the cantaloupe is 3x. 3. The pumpkin is 2 kg heavier than the watermelon, so its mass is 4x + 2.

Now, we can set up an equation to find the value of x:

4x + 3x + 4x + 2 = 24

Simplifying the equation:

11x + 2 = 24

Subtracting 2 from both sides:

11x = 22

Dividing both sides by 11:

x = 2

Now that we have the value of x, we can find the mass of each fruit:

- The mass of the watermelon is 4x = 4 * 2 = 8 kg. - The mass of the cantaloupe is 3x = 3 * 2 = 6 kg. - The mass of the pumpkin is 4x + 2 = 4 * 2 + 2 = 10 kg.

Therefore, the mass of the watermelon, cantaloupe, and pumpkin are 8 kg, 6 kg, and 10 kg, respectively.

Note: The information provided in this response is based on calculations using the given ratios and assumptions.