Trina has 36 marbles in three different colors. There are twice as many red ones as blue ones. There is one more green marble than there are red marbles. How many red marbles are there? How many green marbles are there?
It would be 14 red and 15 green
r + b + g = 36
r = 2b ... b = 1/2 r
r + 1 = g
substituting ... r + (1/2 r) + (r + 1) = 36
5/2 r = 35
To find the number of red and green marbles, we need to set up a system of equations based on the given information.
Let's denote the number of blue marbles as "x". Since there are twice as many red marbles as blue ones, the number of red marbles would be "2x". Additionally, there is one more green marble than there are red marbles, so the number of green marbles would be "2x + 1".
To find the total number of marbles, we add up the numbers of marbles in each color: x + 2x + (2x + 1) = 36.
Combining like terms, we have 5x + 1 = 36.
Subtracting 1 from both sides, we get 5x = 35.
Dividing both sides by 5, we find x = 7.
Therefore, there are 7 blue marbles, 2(7) = 14 red marbles, and 2(7) + 1 = 15 green marbles.