There are a total of 1200 red and green in a bag. If the red marbles in the bag is increased by 60 and the number of green marbles is reduced by 10%, the total number of Marbles in the bag would be increased by 2%. How many red and green marbles at first?
+14903 How many red and green marbles at first?
Hello Guest!
\(r+g=1200\\ r=1200-g\\ r+60+0.9g=1.02\cdot 1200\\ 1200-g+60+0.9g=1224\\-0.1g=1224-1260\\ -0.1g=-36\\ \color{blue}g=360 \)
\(r+360=1200\\ \color{blue}r=840\\\)
\(\color{blue}840\ red\ and\ 360\ green\ marbles\ are\ at\ first.\)
!
