Problema Solution
A piggy bank contains 39 coins, all in nickels and dimes. The coins have a value of $3.40. How many of each type of coin does the bank contain?
Answer provided by our tutors
1 nickel = 5 cents
1 dime = 10 cents
Let
n = the number of nickels, n>=0, n is integer
d = the number of dimes, d>=0, d is integer
A piggy bank contains 39 coins consisting of nickels and dimes:
n + d = 39
The total value of the coins is $3.40 = 340 cents:
5n + 10d = 340 divide both sides by 5
n + 2d = 68
by solving the system of equations:
n + d = 39
n + 2d = 68
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n = 10 nickels
d = 29 dimes
The piggy bank contains 10 nickels and 29 dimes.