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A pencil cost 2/3 as much as an eraser. Tom bought a number of pencils and erasers. The total cost of all the pencils was 4 times as much as the total cost of all the erasers. Tom bought 35 pencils and erasers. How many pencils did Tom buy altogether?

 Apr 18, 2021
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p = 2/3 e       costs given

 

(p x)    = 4  e ( 35-x)

2/3 e x = 140 e  - 4ex

4 2/3 ex = 140 e

4 2/3x = 140

x =   140 / (4 2/3) = 30   = number of pencils       

 

 

check:      30 p   =  5 e    * 4

               30 * 2/3 e   = 20 e

                       20 e = 20 e      Yes .....

 Apr 18, 2021

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