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
A) 15x = 200
B) 95x + 15 = 200
C) 15x + 95 = 200

Answer 1

To determine how many months it will take Nicholas to reach 200 baseball cards, we can set up the equation based on the information provided.

Nicholas currently has 95 cards and collects 15 additional cards each month. We need to find the number of months \(x\) it will take to reach 200 cards.

The correct equation is:

\[ 15x + 95 = 200 \]

Now, let's solve for \(x\).

1. Subtract 95 from both sides:

\[ 15x = 200 - 95 \]

\[ 15x = 105 \]

2. Divide by 15:

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

\[ x = 7 \]

So, it will take Nicholas 7 months to collect 200 baseball cards. Therefore, the correct answer is:

C) \(15x + 95 = 200\)