Question 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. (2 points) Equation: Time it will take:

Answer 1

Let's define the variables and set up the equation.

Let \( x \) be the number of months it will take Nicholas to collect enough baseball cards.

Nicholas currently has 95 baseball cards and is collecting 15 cards per month. He wants to reach a total of 200 baseball cards.

The equation can be set up as follows:

\[ 95 + 15x = 200 \]

Now, we will solve for \( x \):

1. Subtract 95 from both sides of the equation:

\[ 15x = 200 - 95 \]

\[ 15x = 105 \]

2. Divide both sides by 15:

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

\[ x = 7 \]

So, the number of months it will take Nicholas to collect 200 baseball cards is 7 months.

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