SOLUTION: Sandy has $3.25 in change. She has five more dimes that quarters but twice as many nickles as dimes. Express the given information as a algebraic expression and simplify

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Question 177082: Sandy has $3.25 in change. She has five more dimes that quarters but twice as many nickles as dimes. Express the given information as a algebraic expression and simplify
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!
Let the amount of quarters that she has be q
Then the amount of dimes she has is q + 5
And, the amount of nickels she has is 2(q +5), or 2q + 10
Algebraic expression: .25q + .1(q + 5) + .05(2q + 10) = 3.25
.25q + .1q + .5 + .1q + .5 = 3.25
.45q = 2.25
q = 5
She has 5 quarters – $1.25
She has 10 dimes – $1.00
She has 20 nickels - $1.00

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