Problema Solution
Sancho has $23.80 in his piggybank. He only has nickels and dimes in the bank. If his supply of nickels is twenty - one more than the dimes tripled. How many of each type does he have
Answer provided by our tutors
1 nickel = 5 cents = $0.05
1 dime = 10 cents = $0.1
let
n = the number of nickels Sancho has
d = the number of dimes Sancho has
Sancho has $23.80 in his piggybank
0.05n + 0.1d = 23.80
his supply of nickels is twenty one more than the dimes tripled
n = 21 + 3d
by solving the system of equations
0.05n + 0.1d = 23.80
n = 21 + 3d
we find
n = 294 nickels
d = 91 dimes
click here to see the step by step solution of the system of equations
Sancho has 294 nickels and 91 dimes.