A piggy bank contains 67 coins. If there are only one and two dollar coins in the piggy bank, and there are 25 more one dollar coins than two dollar coins, how many of each type are there?
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Call the number of $1 coins $\displaystyle x$ and the number of $2 coins $\displaystyle y$.
You're told that there are 67 coins.
So $\displaystyle x + y = 67$.
You're also told that there are 25 more $1 coins than $2 coins.
So $\displaystyle x = y + 25$.
You can now substitute $\displaystyle x$ from equation 2 into equation 1.