A bag holds 57 green and blue marbles. There are 13 more blue marbles then green marbles. How many marbles of each color are there?
x=green marbles
y=blue marbles
x+y=57
x+13=y b/c there are 13 more blue marbles
substitute in to other equation
x+(x+13)=57
then solve for x, then for y add 13 to x
To solve this problem, let's set up some equations based on the given information.
Let's assume the number of green marbles is x.
According to the problem, there are 13 more blue marbles than green marbles. Therefore, the number of blue marbles is x + 13.
We also know that the bag holds a total of 57 green and blue marbles. So, we can write the equation:
x + (x + 13) = 57
Now, we can solve the equation to find the value of x.
Combining like terms, the equation becomes:
2x + 13 = 57
Subtracting 13 from both sides:
2x = 57 - 13
2x = 44
Dividing both sides by 2:
x = 44 / 2
x = 22
So, there are 22 green marbles.
To find the number of blue marbles, we substitute the value of x back into the equation:
x + 13 = 22 + 13
x + 13 = 35
Therefore, there are 35 blue marbles.
To summarize, there are 22 green marbles and 35 blue marbles in the bag.