Question 1162718
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Let's use cents instead of dollars so we don't have to write all those decimals. The total value of the coins is 1345 cents.<br>
If a formal algebraic solution is not required, and if you are good with mental math, then this problem can be solved quickly and easily using logical reasoning.<br>
If the 89 coins were all nickels, the value would be $4.45, or 445 cents.
The actual value, 1345 cents, is 900 cents more than that.
Trading a nickel for a quarter keeps the number of coins at 89 but increases the total value by 25-5 = 20 cents.
To make up the addition 900 cents, the number of quarters you need is 900/20 = 45.<br>
ANSWER: 45 quarters, and 89-45 = 44 nickels.<br>
CHECK: 45(25)+44(5) = 1125+220 = 1345<br>