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# Word problem

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If a pound of tea has twice as much caffeine as a pound of coffee, and if a pound of tea is enough to make 160 cups of tea, and if a pound of coffee to make 40 cups, and if a 12-ounce can of cola has about one-fourth the caffeine as a cup of coffee. How much caffeine does one cup of tea have compared to one cup of coffee? How much caffeine does one cup of tea have compared to a 12-ounce can of cola?

Explain your solution clearly using complete sentences.

Jan 27, 2018

#1
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If a pound of tea has twice as much caffeine as a pound of coffee,

and if a pound of tea is enough to make 160 cups of tea,

and if a pound of coffee to make 40 cups,

How much caffeine does one cup of tea have compared to one cup of coffee?

Let’s see:

160cups of tea = 40cups of coffee (by weight)

160cups of tea= 80cups of coffee (by amount of caffeine)

so

1cup of tea= ½ cup of coffee (by amount of caffeine)

and if a 12-ounce can of cola has about one-fourth the caffeine as a cup of coffee.

How much caffeine does one cup of tea have compared to a 12-ounce can of cola?

4 can cola = 1 cup coffee   (by amount of caffeine)

2 can cola = 1/2 cup coffee   (by amount of caffeine)

So

2 can cola = 1 cup tea   (by amount of caffeine)

So 1 cup of tea has twice as much caffeine as one can of cola.

Jan 28, 2018
edited by Melody  Jan 28, 2018
#2
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If tea has twice as much caffeine as coffee per volume,  then 160 cups of tea must have twice the amount of caffeine as 40 cups of coffee. So.....80 cups of tea must have the same amount of caffeine as 40 cups of coffee. So....one cup of coffee must have twice the caffeine of one cup of tea.

One cup of tea has 1/2 the caffeine as a cup of coffee. So.......since a 12-ounce can of cola has 1/4 the caffeine of a cup of coffee, a cup of tea must have twice the caffeine of a 12-ounce cola.

Jan 28, 2018
edited by CPhill  Jan 28, 2018