how many baseball cards

Question

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?

Answer 1

baseball cards = b; football cards = f

Here's what we know:

b + f = 120

5f = b

 

We have a value for b, so we plug it in:

5f + f = 120

Simplify:

6f = 120

Divide by 6:

f = 20

 

Now to solve for b:

b = 5 * 20

b = 100

 

Check:

100 + 20 = 120

120 = 120