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A lemon solution consists of 60 g of sugar per 100 cc of the solution.
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18 Apr 2023, 01:10
18 Apr 2023, 01:10
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75% (00:52) correct
25% (01:16) wrong based on 8 sessions
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A lemon solution consists of 60 g of sugar per 100 cc of the solution. If 20 cc of the solution is mixed with 80 cc of water to prepare a lemonade. What is the amount of sugar in the lemonade drink?
6 g
12 g
36 g
45 g
60 g
6 g
12 g
36 g
45 g
60 g
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Re: A lemon solution consists of 60 g of sugar per 100 cc of the solution.
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19 Apr 2023, 19:44
19 Apr 2023, 19:44
1
Expert Reply
The lemon solution consists of 60 g of sugar per 100 cc of the solution.
This means that for every 100 cc of the solution, there are 60 g of sugar.
If we mix 20 cc of the lemon solution with 80 cc of water, we will have a total of 100 cc of the lemonade drink.
Since the lemon solution has a sugar concentration of 60 g per 100 cc, 20 cc of the solution will have 20/100 x 60 g = 12 g of sugar.
However, we diluted this 20 cc of lemon solution with 80 cc of water, which means that the sugar concentration in the lemonade drink will be lower than 60 g per 100 cc.
To find out the sugar concentration in the lemonade drink, we need to use the concept of the conservation of mass.
The total mass of the sugar in the lemonade drink is the same as the total mass of the sugar in the 20 cc of the lemon solution.
Therefore, the 12 g of sugar in the 20 cc of lemon solution is now spread out in the 100 cc of lemonade drink.
To find out the sugar concentration in the lemonade drink, we divide the total mass of sugar by the total volume of the drink:
12 g / 100 cc = 0.12 g/cc or 12 g per liter (since 1 cc = 1 mL and 1000 mL = 1 liter).
Therefore, the amount of sugar in the lemonade drink is 12 g.
Hence, the answer is 12 g.
This means that for every 100 cc of the solution, there are 60 g of sugar.
If we mix 20 cc of the lemon solution with 80 cc of water, we will have a total of 100 cc of the lemonade drink.
Since the lemon solution has a sugar concentration of 60 g per 100 cc, 20 cc of the solution will have 20/100 x 60 g = 12 g of sugar.
However, we diluted this 20 cc of lemon solution with 80 cc of water, which means that the sugar concentration in the lemonade drink will be lower than 60 g per 100 cc.
To find out the sugar concentration in the lemonade drink, we need to use the concept of the conservation of mass.
The total mass of the sugar in the lemonade drink is the same as the total mass of the sugar in the 20 cc of the lemon solution.
Therefore, the 12 g of sugar in the 20 cc of lemon solution is now spread out in the 100 cc of lemonade drink.
To find out the sugar concentration in the lemonade drink, we divide the total mass of sugar by the total volume of the drink:
12 g / 100 cc = 0.12 g/cc or 12 g per liter (since 1 cc = 1 mL and 1000 mL = 1 liter).
Therefore, the amount of sugar in the lemonade drink is 12 g.
Hence, the answer is 12 g.
gmatclubot
Re: A lemon solution consists of 60 g of sugar per 100 cc of the solution. [#permalink]
19 Apr 2023, 19:44
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