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Paul has 2/3 as many postcards as Shawn . The number of postcards Shawn has is 3/5 of the number of postcards Tim has. If the three boys have 280 postcards altogether,how many more postcards does Tim have than Paul ?

 May 14, 2021
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Paul has 2/3 as many postcards as Shawn . The number of postcards Shawn has is 3/5 of the number of postcards Tim has. If the three boys have 280 postcards altogether,how many more postcards does Tim have than Paul ?

 

$p = \frac{2}{3}s$

$s = \frac{3}{5}t$

$p+s+t=280$

$p=\frac{2}{5}t$

$2t=280$

$t=140$

$(1-\frac{2}{5})t = \frac{3}{5} \cdot 140 = 3 \cdot 28 = \boxed{84}$

 May 14, 2021

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