To find out how many months it will take Nicholas to reach his goal of 200 baseball cards, we can start by writing an equation based on the information given.
Let \( x \) represent the number of months Nicholas takes to collect the additional cards. He currently has 95 cards and plans to collect 15 cards each month. The equation can be written as:
\[ 95 + 15x = 200 \]
Now, we can solve for \( x \):
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Subtract 95 from both sides of the equation: \[ 15x = 200 - 95 \] \[ 15x = 105 \]
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Now, divide both sides by 15: \[ x = \frac{105}{15} \] \[ x = 7 \]
So, it will take Nicholas 7 months to collect enough baseball cards to reach a total of 200.