SOLUTION: To make a certain drink, you need to mix 200ml of concentrated drink with 1l of water. How much concentrated drink will you need if you have to make up 14l of this drink?
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Question 1000646: To make a certain drink, you need to mix 200ml of concentrated drink with 1l of water. How much concentrated drink will you need if you have to make up 14l of this drink?
My attempt is: 200ml of concentrated drink X 14l = 2800ml Answer by Theo(13342) (Show Source):
in order to keep the percentage of components the same, each component of the new drink needs to be 14 times as large as each component of the old drink.
1 liter is equivalent to 1000 milli-liters.
convert all measurements in liters to measurements in milli-liters.
1 liter of water becomes 1000 milli-liters of water.
the old drink components and total are:
200 ml of concentrate + 1000 ml of water = 1200 ml of drink.
the new drink components will have to all be 14 times as large.
you will get:
200 * 14 ml of concentrate + 1000 * 14 ml of water = 1200 * 14 ml of drink.
simplify this to get:
2800 ml of concentrate + 14000 ml of water = 16800 ml of drink.
since you said 2800 ml of concentrate, you are correct. ***************
for the concentrate:
14 * 200 ml = 2800 ml.
for the water:
14 * 1000 ml = 14000 ml.
for the total:
14 * 1200 ml = 16800 ml.
the ratio of concentrate to total is 200 / 1200 = 2/12 = 1/6 for the old drink.
the ratio of concentrate to total is 2800 / 16800 = 28/168 = 14/84 = 7/42 = 1/6 for the new drink.
