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:

• Let \( x \) be the number of months it will take Nicholas to collect the additional baseball cards.
• Nicholas currently has 95 cards and wants to reach a total of 200 cards.

The equation representing the situation is:

\[ 95 + 15x = 200 \]

Now we can solve for \( x \):

1. Subtract 95 from both sides:

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

2. Divide both sides by 15:

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

So the equation is \( 95 + 15x = 200 \) and it will take Nicholas 7 months to collect 200 baseball cards.