SOLUTION: Sandy has $3.75 in change. She has 3 more quarters than dimes but twice as many nickles as quarters. Express the given information as an algebraic expression and simplify. You a

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Question 151706: Sandy has $3.75 in change. She has 3 more quarters than dimes but twice as many nickles as quarters. Express the given information as an algebraic expression and simplify. You are not required to solve the problem.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Let,
number of dimes= x
number of quarters= x%2B3, three more than dimes
number of nickels= 2%28x%2B3%29=2x%2B6, twice as many as quarters
Therefore, adding everything totals to $3.75:
0.10x%2B0.25%28x%2B3%29%2B0.05%282x%2B6%29=3.75
0.10x%2B0.25x%2B0.75%2B0.10x%2B0.30=3.75 ----------> WORKING EQN.
WILL RESULT TO: x=6, no. of dimes
6%2B3=9, no. quarters
%282%2A6%29%2B6=18. no. of nickels
In doubt? Go back WORKING EQN & substitute "x=6" and you'll see.
Thank you,
Jojo