SOLUTION: There are 73 coins in a piggy bank. The number of dimes is thrice the number of pennies. There are seventeen less nickels then pennies. How many of each coin are there? PLEASE HELP

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Question 1060298: There are 73 coins in a piggy bank. The number of dimes is thrice the number of pennies. There are seventeen less nickels then pennies. How many of each coin are there? PLEASE HELP
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There are 73 coins in a piggy bank. The number of dimes is thrice the number of pennies. There are seventeen less nickels then pennies.
How many of each coin are there? PLEASE HELP
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Let "P" be the number of pennies.

Then the number of dimes is 3P, while the number of nickels is P-17.

In all there are 73 coins:

P + 3P + (P-17) = 73.

Simplify and solve this linear equation for a single unknown P.