Allison has 5 times as many baseball cards as football cards. In all, she has 120 baseball and football cards. How many baseball cards does Allison have?
100
X football cards.
5x baseball cards.
x + 5x = 120.
X = ?
Let's assume the number of football cards Allison has as 'x'.
According to the problem, Allison has 5 times as many baseball cards as football cards. So the number of baseball cards she has is 5x.
In total, she has 120 baseball and football cards, so we can set up the equation:
x + 5x = 120
Combining like terms, we get:
6x = 120
To solve for x, we divide both sides of the equation by 6:
x = 20
So Allison has 5 * 20 = 100 baseball cards.
To figure out how many baseball cards Allison has, we can set up a system of equations based on the given information.
Let's assume that Allison has x football cards.
According to the problem, Allison has 5 times as many baseball cards as football cards, so she has 5x baseball cards.
Now we can set up the equation to represent the total number of cards:
x (football cards) + 5x (baseball cards) = 120
Combining like terms:
6x = 120
Now divide both sides of the equation by 6 to solve for x:
6x / 6 = 120 / 6
x = 20
So, Allison has 5x baseball cards:
5 * 20 = 100
Allison has 100 baseball cards.