Question

Cвежие фрукты содержат 72% воды, а высушенные - 26%. Сколько сухих фруктов получится из 259 кг свежих фруктов?

Answer 1

Ответ:

98 кг

Объяснение:

(Исходим из того, что фрукты состоят из воды и сухой фруктовой массы)

1) 100%-72%=28% - сухой фруктовой массы содержится в свежих фруктах

2) 259*28:100=72,52 (кг) - составит сухая фруктовая  масса в свежих фруктах

3) 100%-26%=74% - составит сухая фруктовая масса в сухофруктах

4) 72,52:74*100 = 98 (кг) - сухофруктов получится из 259 кг свежих фруктов

Answer 2

Calculating the Number of Dried Fruits from Fresh Fruits

To calculate the number of dried fruits that can be obtained from 259 kg of fresh fruits, we can use the fact that fresh fruits contain 72% water, while dried fruits contain 26% water.

Step 1: Calculate the Weight of Water in Fresh Fruits The weight of water in fresh fruits can be calculated as: \[ \text{Weight of water in fresh fruits} = \text{72% of 259 kg} \]

Step 2: Calculate the Weight of the Fruit Matter in Fresh Fruits The weight of the fruit matter in fresh fruits can be calculated as: \[ \text{Weight of fruit matter in fresh fruits} = \text{100% of 259 kg} - \text{Weight of water in fresh fruits} \]

Step 3: Calculate the Weight of the Fruit Matter in Dried Fruits The weight of the fruit matter in dried fruits can be calculated as: \[ \text{Weight of fruit matter in dried fruits} = \text{100% - 26% of the weight of fruit matter in fresh fruits} \]

Step 4: Calculate the Weight of Dried Fruits The weight of dried fruits that can be obtained can be calculated as: \[ \text{Weight of dried fruits} = \frac{\text{Weight of fruit matter in dried fruits}}{\text{Weight of fruit matter in fresh fruits}} \times 259 \]

Calculation

Let's perform the calculations using the given information.

Step 1: Calculate the Weight of Water in Fresh Fruits \[ \text{Weight of water in fresh fruits} = 72\% \times 259 \text{ kg} = 186.48 \text{ kg} \]

Step 2: Calculate the Weight of the Fruit Matter in Fresh Fruits \[ \text{Weight of fruit matter in fresh fruits} = 100\% \times 259 \text{ kg} - 186.48 \text{ kg} = 72.52 \text{ kg} \]

Step 3: Calculate the Weight of the Fruit Matter in Dried Fruits \[ \text{Weight of fruit matter in dried fruits} = 100\% - 26\% \times 72.52 \text{ kg} = 53.5696 \text{ kg} \]

Step 4: Calculate the Weight of Dried Fruits \[ \text{Weight of dried fruits} = \frac{53.5696 \text{ kg}}{72.52 \text{ kg}} \times 259 \text{ kg} \approx 191.67 \text{ kg} \]

Answer

So, approximately 191.67 kg of dried fruits can be obtained from 259 kg of fresh fruits.