Question

Смешали 4 литра 15% сахарного сиропа и 2 литра 20% сахарного сиропа. Сколько сахара надо добавить, чтоб получить 6 литров 75% сахарного сиропа?

Answer 1

Найдем сколько сахара в первом сиропе
Составим пропорцию
4 литра это 100%
Х литра это 15%

Х=15*4/100=60/100= 0.6 литра сахара
найдем сколько сахара во втором сиропе

2 литра это 100%
Х литра это 20%

Х=20*2/100=40/100=0.4 литра сахара

Тогда при смешивание мы получаем 2+4=6 литров сиропа
И 0.4+0.6=1 литр сахара
Тогда найдем сколько же должно быть сахара в 75% сиропе объемом 6 литров
Составим пропорцию
6 литров это 100%
х литров 75%

Х=6*75/100=450/100=4.5 литра
А у нас есть пока только 1 литр сахара
Тогда нужно добавить 4.5—1=53.5 литра
Ответ: 3.5 литра

Answer 2

Calculating Sugar Content in Syrup Mixture

To calculate the amount of sugar needed to achieve a 75% sugar content in a 6-liter mixture, we can use the following approach:

1. Calculate the Total Sugar Content in the Initial Mixture: - The initial mixture consists of 4 liters of 15% sugar syrup and 2 liters of 20% sugar syrup. - We can calculate the total sugar content in the initial mixture using the formula: Total Sugar Content = (Volume of Solution 1 * Percentage of Solution 1) + (Volume of Solution 2 * Percentage of Solution 2)

2. Determine the Additional Sugar Needed: - Once we have the total sugar content in the initial mixture, we can calculate the additional amount of sugar needed to achieve a 75% sugar content in a 6-liter mixture.

Calculation Steps

1. Calculate Total Sugar Content in the Initial Mixture: - Total Sugar Content = (4 liters * 15%) + (2 liters * 20%) - Total Sugar Content = (0.6 liters) + (0.4 liters) - Total Sugar Content = 1 liter

2. Determine Additional Sugar Needed: - To achieve a 75% sugar content in a 6-liter mixture, the total sugar content required is: Total Sugar Content = 6 liters * 75% Total Sugar Content = 4.5 liters

- Additional Sugar Needed = Total Sugar Content required - Total Sugar Content in the Initial Mixture - Additional Sugar Needed = 4.5 liters - 1 liter - Additional Sugar Needed = 3.5 liters

Therefore, 3.5 liters of sugar need to be added to the initial mixture to achieve a 6-liter 75% sugar syrup mixture.

Conclusion

To achieve a 6-liter mixture with a 75% sugar content, 3.5 liters of additional sugar need to be added to the initial mixture of 4 liters of 15% sugar syrup and 2 liters of 20% sugar syrup.