Math CentralQuandaries & Queries


Question from Rachel, a student:

Kesha had only pennies and dimes in her change purse. When she counted out her change she had 64 cents/ of she had 6 times as many pennies as she did dimes, how many pennies did she have? Write equation and solve it.

Can someone help me with this?


Suppose she has P pennies and D dimes. Each dime is worth 10 cents so the value of the coins in her purse is 10D + P. Hence

10D + P = 64.

You are also told that she had 6 times as many pennies as she did dimes. Turn this into an equation as I did above. Solve the two equations for P and D.


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