Question 882092: A bag contains 23 coins, some dimes and some quarters. The total amount of money in the bag is $2.75. How many dimes and how many quarters are in the bag
Answer by josgarithmetic(39620)   (Show Source):
You can put this solution on YOUR website! d for dimes, q for quarters.
d+q=23 and 0.1d+0.25q=2.75.
Simplify the money sum equation.
10d+25q=275
2d+5q=55.
The system to solve is
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d+q=23
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2d+5q=55
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You can choose Elimination Method and multiply the coin sum equation by 2 so you have:
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2d+2q=46
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2d+5q=55
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Subtract the coint sum equation from the money sum equation, eliminating d to find q....
You should find 3q=9, meaning q=3.
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Using the original coin sum equation, find that d=20.
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