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Mike had 3/4 as many comic books as Robert. When Robert gave half of his comic books to Mike, he then had 30 fewer comic books than his friend. How many comic books did Robert have at first?

 Apr 15, 2021
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Call  thee number  that Robert had  intially, N

 

Then Mike  had  (3/4)N

 

When  Robert  gives  away  1/2 of his  we  have  that

 

N  - (1/2) N   +  30  =  (3/4)N  + (1/2)N     simplify

 

(1/2)N  +  30   =  (5/4)N

 

(5/4)N - (1/2)N  =  30

 

(3/4)N  =  30

 

N = 30 * (4/3)   =   40   =  the  number  that Robert  had initially   

 

 

cool cool cool                 

 Apr 15, 2021

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