SOLUTION: Sonya has a bag of coins with only nickels and quarters. if she has 105 coins worth a total of $17.25, how many of each type of coin does she have?

Question 430955: Sonya has a bag of coins with only nickels and quarters. if she has 105 coins worth a total of $17.25, how many of each type of coin does she have?
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
"Sonya has a bag of coins with only nickels and quarters. if she has 105 coins worth a total of $17.25, how many of each type of coin does she have?"

x = number of nickels
105 - x = number of quarters {total coins minus number of nickels}

5(x) + 25(105 - x) = 1725 {number of coins times value of coins equals total value}
5x + 2625 - 25x = 1725 {used distributive property}
-20x + 2625 = 1725 {combined like terms}
-20x = -900 {subtracted 2625 from both sides}
x = 45 {divided both sides by -20}
105 - x = 60 {substituted 45, in for x, into 105 - x}

45 nickels and 60 quarters
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