Problema Solution
Plato has 58 coins in nickels, dimes, and quarters. The number of nickels is three less than twice the number of dimes. The total value of the coins is $7.40. How many of each type of coin does Plato have
Answer provided by our tutors
1 nickle = 5 cents
1 dime = 10 cents
1 quarter = 25 cents
$7.40 = 740 cents
Let
n = the number of nickels, n>0, n is integer
d = the number of dimes, d>0, d is integer
q = the number of quarters, q>0, q is integer
n + d + q = 58
n = 2d - 3
5n + 10d + 25q = 740
........
click here to see the system of equations solved for n, d and q
........
n = 25 nickles
d = 14 dimes
q = 19 quarters
Plato had 25 nickles, 14 dimes and 19 quarters.