A bag is filled with green and blue marbles. There are 111 marbles in the bag. If there are 23 more green marbles than blue marbles, find the number of green marbles and the number of blue marbles in the bag.
number of blues ---- x
number of greens = x + 23
x + x + 23 = 111
solve for x, then sub into my definitions
idk
To find the number of green and blue marbles in the bag, you can set up a system of equations using the given information.
Let's define:
G = number of green marbles
B = number of blue marbles
We are told that there are 111 marbles in total, so we can write the first equation as:
G + B = 111
We are also told that there are 23 more green marbles than blue marbles, so we can write the second equation as:
G = B + 23
Now we can solve this system of equations to find the values of G and B.
Substituting the second equation into the first equation:
(B + 23) + B = 111
2B + 23 = 111
Simplifying this equation:
2B = 111 - 23
2B = 88
Dividing both sides by 2:
B = 88 / 2
B = 44
Now that we have the value of B, we can substitute it back into the second equation to find the value of G:
G = B + 23
G = 44 + 23
G = 67
Therefore, there are 67 green marbles and 44 blue marbles in the bag.