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

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:

$\implies b+f=120$

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

$b=5f$

Substitute b=5f into the first equation:

$\begin{gathered} 5f+f=120 \\ 6f=120 \\ f=\frac{120}{6}=20 \end{gathered}$

Therefore, the number of basketball cards will be:

$b=5f=5\times20=100$

Allison has 100 basketball cards.