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Tommy and Victor each had a collection of hats. The ratio of Tommy's hats to Victor's hats was 4:3. When Victor found 20 more hats, the ratio became 1:2. How many hats did Tommy have?

 Apr 19, 2021
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t/v = 4/3

t = 4/3 v

 

then add 20 hats to v

 

t / (v+20) = 1/2

t = 1/2 (v+20)

 

4/3 v = 1/2v +10

8/6 v = 3/6 v + 10

5/6 v = 10

v = 12  originally                             then t = 4/3 v = 16 hats

 May 7, 2021

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