A man has a punch for his party(7 gallons)which is 1:1 Whiskey to Fruit Juices
He wants to make it weaker and have more of it.
How much fruit juice does he need to add to make a mix with a whiskey to mixer ratio of 2:5 and how much of the punch will he have in the end?
Please show working out and correct answer. Best answer awarded to most helpful.
Help with ratio question?
2020-08-20 4:20 pm
回答 (3)
2020-08-20 4:50 pm
✔ 最佳答案
Right now he has 7 gallons of mixture, which is 3.5 gallons whiskey and 3.5 gallons fruit juiceHe wants that 3.5 gallons of whiskey to represent 2 of 7 parts (because 2:5 means that you'll have 7 parts total) of the total mixture
2/7 = 3.5/x
x = 7 * 3.5 / 2
x = 24.5 / 2
x = 12.25
The total mixture will be 12.25 gallons
12.25 - 7 = 5.25
He needs to add 5.25 gallons of fruit juice.
2020-08-20 4:37 pm
Let y gallons be the amount of fruit juice needed to add.
At the end, Whiskey : Mixer = 2 : 5
(7/2) : (7 + y) = 2 : 5
3.5 / (7 + y) = 2 / 5
2(7 + y) = 17.5
7 + y = 8.75
y = 1.75
Answers:
He needs to add 1.75 gallons of fruit juice.
He will have 8.75 gallons of the punch at the end.
At the end, Whiskey : Mixer = 2 : 5
(7/2) : (7 + y) = 2 : 5
3.5 / (7 + y) = 2 / 5
2(7 + y) = 17.5
7 + y = 8.75
y = 1.75
Answers:
He needs to add 1.75 gallons of fruit juice.
He will have 8.75 gallons of the punch at the end.
2020-08-20 9:38 pm
3.5 : x => 2 : 5
so, 5(3.5) = 2x
i.e. 2x = 17.5
Then, x = 8.75 litres
As there is 3.5 litres already, he needs to add 5.25 litres of juice
Now, 3.5 : 8.75 => 3.5 + 8.75 = 12.25 litres in total
:)>
so, 5(3.5) = 2x
i.e. 2x = 17.5
Then, x = 8.75 litres
As there is 3.5 litres already, he needs to add 5.25 litres of juice
Now, 3.5 : 8.75 => 3.5 + 8.75 = 12.25 litres in total
:)>
收錄日期: 2021-04-24 08:07:18
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