Answer:
100 basketball cards
Explanation:
Let the number of basketball cards = b
Let the number of football cards = f
In all, she has 120 cards:
[tex]\implies b+f=120[/tex]She has five times as many basketball cards as football cards.
[tex]b=5f[/tex]Substitute b=5f into the first equation:
[tex]\begin{gathered} 5f+f=120 \\ 6f=120 \\ f=\frac{120}{6}=20 \end{gathered}[/tex]Therefore, the number of basketball cards will be:
[tex]b=5f=5\times20=100[/tex]Allison has 100 basketball cards.
