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I have some red and green marbles. 25% of the red marbles are equal to 1/6 of the green marbles. There are 160 more green marbles than red marbles. How many red marbles will I have left after giving away 114 red ones?

 Jul 7, 2022
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.25 R  =  (1/6)G                (note : R + 160  = G )

 

.25 ( R)  =  (1/6) ( R + 160)

 

(1/4)R =   (1/6)R + 160 / 6           

 

(1/4)R - (1/6)R =  160 / 6          

 

(2/ 24)R = 160 / 6

 

(1/12)R = 160 / 6

 

R = (160/6) ( 12 )  =   320

 

320  - 114  = 

 

206  red ones left

 

 

cool cool cool

 Jul 7, 2022

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