How many possible ways to make change for 25 cents using dimes, nickels, and pennies?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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How many possible ways to make change for 25 cents using dimes, nickels, and pennies?

Let d be the number of dimes, n be the number of nickels, and p be the number of pennies. Since the
target amount is 25 cents, then
d +n + p = 25
A dime is 10 cents, so it is 10d, a nickel is 5 cents, so it is 5n while a penny is 1 cent, so it is 1p or p,
giving the equation
10d + 5n + p = 25
Transcribed Image Text:Let d be the number of dimes, n be the number of nickels, and p be the number of pennies. Since the target amount is 25 cents, then d +n + p = 25 A dime is 10 cents, so it is 10d, a nickel is 5 cents, so it is 5n while a penny is 1 cent, so it is 1p or p, giving the equation 10d + 5n + p = 25
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