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Corey had 1/9 as many hats as Derek. Derek gave 16 hats to Corey so that they would each have the same amount. How many hats did the two friends have altogether?

 Apr 16, 2021
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c = 1/9 d

 

 

then

d-16 = c+ 16     sub in the red equation

d-16 = 1/9d + 16

8/9 d = 32

d = 32 * 9/8 = 36 hats initially      c = 1/9 d = 4         Total 36 +4 = 40 hats

 Apr 16, 2021

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