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?
96
Let x = baseball cards
x + 5x = 120
6x = 120
x = 20
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To determine how many baseball cards Allison has, we'll set up an equation based on the given information.
Let's say Allison has x football cards. Since Allison has 5 times as many baseball cards as football cards, she must have 5x baseball cards.
The total number of baseball and football cards Allison has is 120, which we can express as an equation:
x + 5x = 120
Combining like terms, we get:
6x = 120
To solve for x, divide both sides of the equation by 6:
x = 120 ÷ 6
x = 20
Now that we know that x = 20, we can substitute this value back into 5x to find the number of baseball cards:
5x = 5(20) = 100
Therefore, Allison has 100 baseball cards.
100
100
100
120/5=24
120-24=96
5x24=120 so there are 96 baseball cards