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# Help

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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?

Jul 27, 2022
edited by Guest  Jul 27, 2022

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How many red and green marbles at first?

Hello Guest!

$$r+g=1200\\ r=1200-g\\ r+60+0.9g=1.02\cdot 1200\\ 1200-g+60+0.9g=1224\\-0.1g=1224-1260\\ -0.1g=-36\\ \color{blue}g=360$$

$$r+360=1200\\ \color{blue}r=840\\$$

$$\color{blue}840\ red\ and\ 360\ green\ marbles\ are\ at\ first.$$

!

Jul 27, 2022