Allison has 5 times as many baseball cards as football cards. In total, she has 120 baseball and football cards. How many baseball cards does Allison have?

Allison has 100 baseball cards. We determined this by setting up an equation where the number of football cards is represented as 'f' and the number of baseball cards as '5f', which when added give a total of 120 cards. By solving the equation, we found that 'f' is equal to 20, so Allison has 5 times 20, which equals 100 baseball cards.
The question pertains to solving a word problem involving proportions and the use of equations to find the number of baseball and football cards that Allison has. Since Allison has 5 times as many baseball cards as football cards, we can represent the number of football cards as 'f' and the number of baseball cards as '5f'. Adding these two quantities together gives us the total number of cards:
5f + f = 120
Combining like terms, we get:
6f = 120
Dividing both sides by 6 to solve for 'f', we find:
f = 20
Since 'f' is the number of football cards and the baseball cards are 5 times this number, we multiply 'f' by 5 to find the number of baseball cards:
baseball cards = 5f = 5(20) = 100.
Therefore, Allison has 100 baseball cards.

Answered by qwviolet | 2024-06-24

Allison has 100 baseball cards. This is determined by first representing the number of football cards as 'f' and realizing that since she has 5 times as many baseball cards, we can set up the equation 6f = 120. Solving that gives us f = 20 for football cards and 100 for baseball cards.
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Answered by qwviolet | 2024-09-26