Answer: he has 31 pennies, 48 nickels and 64 dimes
Explanation:
The worth of a penny is 1 cent. Converting to dollars, it becomes
1/100 = $0.01
The worth of a dime is 10 cents. Converting to dollars, it becomes
10/100 = $0.1
The worth of a nickel is 5 cents. Converting to dollars, it becomes
5/100 = $0.05
Let x represent the number of pennies that he has.
Let y represent the number of nickels that he has.
Let z represent the number of dimes that he has.
Andrew has a total of one hundred forty-three pennies, nickels, and dimes. It means that
x + y + z = 143- - - - - - - - - - -1
He has a total of $9.11. It means that
0.01x + 0.05y + 0.1z = 9.11- - - - - - - 2
He has seventeen more nickels than pennies. It means that
y = x + 17
x = y - 17
He has sixteen more dimes than nickels. It means that
z = y + 16
Substituting x = y - 17 and z = y + 16 into equation 1, it becomes
y - 17 + y + y + 16 = 143
3y - 1 = 143
3y = 143 + 1 = 144
y = 144/3
y = 48
x = y - 17 = 48 - 17
x = 31
z = y + 16 = 48 + 16
z = 64