You and your friend collect football cards.You tell your friend,"I have three times the number of football cards as you have." Your friend replies " You only have 80 more football cards than i have." How many football card do each of you have?
3x = 80 + x
2x = 80
x = 40
Your friend has 40 cards. How many do you have?
120
To solve this problem, we can use algebraic equations. Let's assume that the number of football cards your friend has is represented by the variable "x".
According to the information given, you have three times the number of football cards as your friend, which can be represented as 3x.
Your friend also mentions that you have 80 more football cards than they do, which means 3x = x + 80.
Now we can solve this equation to find the value of x, which represents the number of football cards your friend has. Here's how:
3x = x + 80
3x - x = 80 (subtracting x from both sides)
2x = 80 (combining like terms)
x = 80/2 (dividing both sides by 2)
x = 40
This tells us that your friend has 40 football cards.
To find the number of football cards you have, we can substitute the value of x=40 into the equation 3x.
So, 3(40) = 120
Therefore, you have 120 football cards, and your friend has 40 football cards.