To find out how many months it will take Nicholas to reach his goal of 200 baseball cards, we can set up an equation based on the information given:
- Current number of baseball cards: 95
- Target number of baseball cards: 200
- Cards collected per month: 15
We want to know how many months \( x \) it will take Nicholas to achieve his target. The equation can be set up as follows:
\[ 95 + 15x = 200 \]
Now, let's solve for \( x \):
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Subtract 95 from both sides: \[ 15x = 200 - 95 \] \[ 15x = 105 \]
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Divide both sides by 15: \[ x = \frac{105}{15} \] \[ x = 7 \]
It will take Nicholas 7 months to collect enough baseball cards to reach a total of 200 cards.