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Peter had 4 times as many pencils as Tom. When Tom's sister gave him 48 more pencils,

he had 1/2 as many pencils as Peter.

(a)  How many pencils did Tom have in the end?

(b)  How many pencils did the boys have altogether in the end?

 Jun 22, 2022
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Let the number that Tom had = T

 

Then Peter had 4T

 

When tom got 48  pencils, Tom only had twice as many

 

So

 

2 *(T + 48)  = 4T

 

2T + 96   = 4T

 

96 =  4T - 2T

 

96 = 2T

 

96/2  = T =  48

 

a )   Tom had   48 + 48  = 96 at the end

 

b )  Peter had  4 (48) =  192

 

Together, they had     96 + 192 =  288
credit to cphill

 Jun 24, 2022

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