Fred can drink 8 3/4 sodas in 5 minutes. At this rate, how many sodas can Fred drink in 2 minutes?

2 Answers
TreeReader
Oct 2, 2017

3 1/2 sodas

Explanation:

You know how much he can drink in 5 minutes, and you want to know how much he can drink in 2. So if you work out how much he drinks in 1 minute, then you multiply it by 2 to get your answer.

8 3/4 -: 5
=35/4 -: 5/1
=35/4 * 1/5

to multiply fractions: top-times-top, bottom-times-bottom:

=35/20 or 1 15/20 = 1 3/4 in 1 minute.

Now multiply by 2 and you know how much he can drink in two minutes!

1 3/4 times 2 = 7/4*2/1 = 14/4 = 3 1/2

Ryuu
Oct 2, 2017

Fred can drink 1 and a half cans of soda in 2 minutes.

Explanation:

We can just cross-multiply for the entirety of this problem.

First off, I'm going to turn the fraction into an improper fraction.

8\3/4 = 35/4

I'm also going to convert the time from minutes to seconds.

(1 "minute") /(60 "seconds") = (5 "minutes")/x

300=x

There are 300 seconds in 5 minutes. As for 2 minutes, if we do the same, we get 120 seconds.

Now the actual problem.

(35/4)/300=x/120

1050=300x

1050/300= (300x)/300

3.5=x

7/2=x

1\1/2=x

Therefore, Fred can drink 1 and a half cans of soda in 2 minutes.

Hope this helps :)

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