Question

Kerlin’s card collection is made up of baseball cards and football cards. The ratio of baseball cards to football cards is 6 to 7. He has 120 baseball cards.

Answer 1

To find the number of football cards in Kerlin's collection, we can use the given ratio of baseball cards to football cards, which is 6 to 7.

Let:
- The number of baseball cards = 6x (where x is a common multiplier),
- The number of football cards = 7x.

According to the problem, Kerlin has 120 baseball cards. We can set up the equation:

\[
6x = 120
\]

To find the value of \(x\), we divide both sides by 6:

\[
x = \frac{120}{6} = 20
\]

Now that we have the value of \(x\), we can find the number of football cards. Using the expression for football cards:

\[
\text{Number of football cards} = 7x = 7 \times 20 = 140
\]

Therefore, Kerlin has **140 football cards**.