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.

Question

Write an equation and solve for the number of months it will take Nicholas to collect 200 baseball cards.

(2 points)
Equation:

Time it will take:

Answer 1

Let's define the number of months Nicholas needs to collect more baseball cards as \( m \).

Currently, he has 95 cards and plans to collect an additional 15 cards each month. To find the total number of cards he will have after \( m \) months, we can set up the following equation:

\[ 95 + 15m = 200 \]

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

1. Subtract 95 from both sides:

\[ 15m = 200 - 95 \] \[ 15m = 105 \]

2. Divide both sides by 15:

\[ m = \frac{105}{15} \] \[ m = 7 \]

Equation: \( 95 + 15m = 200 \)
Time it will take: 7 months

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