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.

Question

Equation:

Answer 1

To find the number of months it will take Nicholas to collect a total of 200 baseball cards, we can set up the following equation:

Let \( m \) represent the number of months.

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

\[ 95 + 15m \]

We want this total to equal 200, so we can set up the equation:

\[ 95 + 15m = 200 \]

Now, let's solve for \( m \):

1. Subtract 95 from both sides of the equation:

\[ 15m = 200 - 95 \]

\[ 15m = 105 \]

2. Divide both sides by 15:

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

\[ m = 7 \]

Thus, it will take Nicholas 7 months to collect 200 baseball cards.