SOLUTION: Hello and thank you for answering my question! Tarran has an assortment of coins and notes in his money box. He has nine times as many $1 coins as $5 notes while there are eight

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Question 971424: Hello and thank you for answering my question!
Tarran has an assortment of coins and notes in his money box. He has nine times as many $1 coins as $5 notes while there are eight times as many $2 coins as $5 notes. After counting his money, Tarran discovered that he had exactly $90. How many $2 coins did he have?
Thank you so much for helping me and if it is convenient, please include a brief explanation! :)

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
ASSIGN VARIABLES
u, count of unit or one-dollar coins
c, count of five-dollar notes
d, count of two-dollar coins

FORM EQUATIONS
system%28u%2Fc=5%2Cd%2Fc=8%2C1%2Au%2B5%2Ac%2B2%2Ad=90%29;
You can handle the rest. Solve the system.