Final answer:
If you lose 1/4 of your marbles, you will have the same number as Nicole.
Step-by-step explanation:
To find out how many marbles you will have if you lose 1/4 of them, we need to subtract 1/4 of your current marbles from the total. Since Nicole has x marbles and together you have 44 marbles, we can write the equation x + y = 44, where y represents your marbles. To find the value of y, we can substitute x with 44 - y and solve the equation: (44 - y) + y = 44.
Simplifying the equation, we get 44 - y + y = 44. The y terms cancel out, leaving us with 44 = 44. This equation is true for any value of y. Therefore, no matter how many marbles you have, if you lose 1/4 of them, you will always have the same number of marbles as Nicole, which is x.