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

To find out how many months it will take Nicholas to collect 200 baseball cards, we can set up an equation based on the information given.

Let \( x \) be the number of months it takes for him to reach 200 baseball cards.

Currently, Nicholas has 95 baseball cards and plans to collect 15 additional cards each month. Therefore, we can write the equation:

\[ 95 + 15x = 200 \]

Now, we will 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.