Answer:
See explanations below
Step-by-step explanation:
Let the amount of nickel be x
Let the amount of pennies be y
Let the amount of quarters be z
If the the total value of the coins is 3.88, then;
x+y+z = 3.88 .... 1
If Anita has 4 more nickels than pennies, then;
x = y + 4 ... 2
If she has 2 more than 4 times the number of quarters than pennies, then;
y = 2 + 4z
4z = y-2
z = (y-2)/4 ...3
Substitute 2 and 3 into 1
y+4+y+(y-2)/4 = 3.88
4y+16+4y + y-2 = 15.52
9y + 14 = 15.52
9y = 15.52 - 14
9y = 1.52
y = 1.52/9
y = 0.17
Since x = y + 4
x = 0.17+4
x = 4.17
z = y-2/4
z = 0.17-2/4
z = -1.83/4
z = - 0.46
