Answer: nickels = 14, dimes = 42, quarters = 18
Step-by-step explanation:
Let n represent nickels which has a value of $0.05
Let d represent dimes which has a value of $0.10
Let q represent quarters which has a value of $0.25
It is given that:
n = n
d = 3n
q = n + 4
and their total value is $9.40 ⇒ n + d + q = $9.40
Use substitution to find the quantity of nickels:
.05(n) + .10(3n) + .25(n + 4) = 9.40
5n + 10(3n) + 25(n+4) = 940 multiplied by 100
5n + 30n + 25n + 100 = 940 distributed
60n + 100 = 940 added like terms
60n = 840 subtracted 100
n = 14 divided by 60
n = 14
d = 3n
= 3(14)
= 42
q = n + 4
= (14) + 4
= 18
