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Paul has a mix of quarters and dimes in his piggybank. He has twice as many dimes than he has quarters. He counts all his coins and notices that he has   nine dollars in total. How many quarters does Paul have?

 Nov 14, 2021
 #1
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Paul has a mix of quarters and dimes in his piggybank. He has twice as many dimes than he has quarters. He counts all his coins and notices that he has   nine dollars in total. How many quarters does Paul have?     

 

D  =  2Q     

10D + 25Q  =  900     

 

10(2Q) + 25Q  =  900     

   20Q   + 25Q  =  900     

                45Q  =  900     

                    Q  =  20     

 

                     D  =  2Q     

                     D  =  2 • 20     

                     D  =  40     

 

check answer     

 

20 quarters is 5 dollars     

40 dimes     is 4 dollars     

total is             9 dollars     

.     

 Oct 29, 2025

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