a blue box has 5 times as many marbles as a red box. the blue box has 24 more marbles than the red box. how many marbles are in each box?
let red box = x, then blue box = 5x
5x - x = 24
Solve for x.
To solve this problem, let's set up some equations:
Let's assume the number of marbles in the red box is "x".
According to the problem, the blue box has 5 times as many marbles as the red box, so the number of marbles in the blue box is "5x".
Also, it is given that the blue box has 24 more marbles than the red box.
So, we can write the equation:
5x = x + 24
To solve for x, let's first simplify the equation:
5x - x = 24
4x = 24
Dividing both sides of the equation by 4, we get:
x = 6
Therefore, the red box has 6 marbles.
We can substitute this value of x back into one of the equations to find the number of marbles in the blue box:
5x = 5(6) = 30
Thus, the blue box has 30 marbles.
So, there are 6 marbles in the red box and 30 marbles in the blue box.