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Sophie has $4.20 worth of dimes and quarters. She has twice as many quarters as dimes. Write a system of equations that could be used to determine the number of dimes and the number of quarters that Sophie has. Define the variables that you use to write the system.

 May 27, 2021
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d = dimes 

q = quarters

 

q = 2d

 

25 q + 10d = 420

25 (2d) + 10d = 420

60d = 420

d = 7      the q = 2d = 14   

 May 27, 2021

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