SOLUTION: Bob has in his pockets a number of pennies, five times as many nickels as pennies, and 6 more quarters than pennies. The coins amount to a value of $2.52. Find The number of pennie

Question 175619: Bob has in his pockets a number of pennies, five times as many nickels as pennies, and 6 more quarters than pennies. The coins amount to a value of $2.52. Find The number of pennies.
Found 2 solutions by josmiceli, EMStelley:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of penniew
Let = number of nickels
Let = number of quarters
given:
(1)
(2)
(3) (in terms of pennies)
Substituting:
(3)

He has 2 pennies
check:

(3)

OK
Answer by EMStelley(208) (Show Source): You can put this solution on YOUR website!
Call the number of pennies P. Then the number of nickels is 5P and the number of quarters is P+6. The dollar amount of pennies is 0.01P, nickels is 0.05(5P) and quarters is 0.25(P+6). Thus we have
0.01P + 0.05(5P) + 0.25(P+6) = 2.52
0.01P + 0.25P + 0.25P + 1.50 = 2.52
0.51P + 1.50 = 2.52
0.51P = 1.02
P = 2
Thus Bob has 2 pennies.
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