Question

Allison has five times as many basketball cards as football cards in all she has 120 basketball and football cards. How many basketball cards do Allison have?

Answer 1

100 basketball cards

Step-by-step explanation:

Let the number of basketball cards = b

Let the number of football cards = f

In all, she has 120 cards:

`\implies b+f=120`

She has five times as many basketball cards as football cards.

`b=5f`

Substitute b=5f into the first equation:

`\begin{gathered} 5f+f=120 \\ 6f=120 \\ f=(120)/(6)=20 \end{gathered}`

Therefore, the number of basketball cards will be:

`b=5f=5*20=100`

Allison has 100 basketball cards.