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?
.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
