Nicholas is collecting baseball cards to add to his collection. He currently has 95 baseball cards and would like to get to 200 baseball cards by collecting an additional 15 cards per month. Write an equation and solve for the number of months it will take Nicholas to collect 200 baseball cards.

Answer 1

Let's denote the number of months Nicholas collects cards as \( m \).

Nicholas currently has 95 baseball cards and plans to collect 15 more cards each month. Therefore, the number of baseball cards he will have after \( m \) months can be expressed as:

\[ 95 + 15m \]

Nicholas wants to have a total of 200 cards, so we can set up the equation:

\[ 95 + 15m = 200 \]

Now, we can solve for \( m \):

1. Subtract 95 from both sides:

\[ 15m = 200 - 95 \]

\[ 15m = 105 \]

2. Divide both sides by 15:

\[ m = \frac{105}{15} \]

\[ m = 7 \]

It will take Nicholas 7 months to collect enough cards to reach a total of 200 baseball cards.