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Troy collected 4 times as many hats as Jake. Jake collected 1/2 as many hats as David. Altogether, they collected 21 hats. How many fewer hats did Jake collect than Troy?

 Jun 25, 2022
 #1
avatar+13789 
+1

How many fewer hats did Jake collect than Troy?

 

Hello Guest!

 

\(t=4j\\ d=2j\\ t+j+d=21\\ 4j+j+2j=21\\ \color{blue}j=3\\ t=12\\ \color{blue}t-j=12-3=9 \)

 

9 fewer hats did Jake collect than Troy.

laugh  !

 Jun 26, 2022
 #2
avatar+229 
+1

Let Jake collected = x hats

Troy collected = 4x

Let David collected = y

Jake collected = y/2

y/2 = x => y = 2x

Also, x + 2x + 4x = 21

            7x = 21

              x = 3

Troy collected = 12

Jake collected less than Troy = 9 hats

 Jun 26, 2022

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