Roderick is counting the change on his dresser. He has twice as many pennies as he does dimes. He has twice the amount of dimes as he does nickels. He has 3 fewer quarters than dimes. Which variable definition would be easiest for Roderick to use when writing expressions for the number of all the coins?

Dimes are the easiest coin count to represent with x because the other counts can be expressed directly from the information about dimes. If x is the number of dimes, then pennies are 2x, nickels are x/2, and quarters are x − 3. So the correct choice is “x = number of dimes because all the other coins are compared to dimes.”

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