A bag is filled with yellow and orange marbles. There are 97 marbles in the bag. If there are 25 more

yellow marbles than orange marbles, find the number of yellow marbles and the number of orange
marbles in the bag.

orange marbles ---- x

yellow marbles ---- x+25

x + x+25 = 97

carry on ....

@reiny if this is for the yellow, do i calculate it the same way for the orange?

To solve this problem, we can set up a system of equations.

Let's represent the number of yellow marbles as "Y" and the number of orange marbles as "O".

From the problem, we are given two pieces of information:

1. There are 97 marbles in the bag: Y + O = 97.
2. There are 25 more yellow marbles than orange marbles: Y = O + 25.

We can use substitution to solve this system of equations.

Start by substituting the second equation into the first equation:

(O + 25) + O = 97.

Simplify the equation:

2O + 25 = 97.

Next, subtract 25 from both sides:

2O = 97 - 25.

2O = 72.

Finally, divide both sides by 2:

O = 36.

Now that we have the value of O, we can substitute it back into one of the original equations to find the value of Y.

Using the second equation:

Y = O + 25 = 36 + 25 = 61.

So, there are 61 yellow marbles and 36 orange marbles in the bag.