Answer: 3 dimes
15 nickels
5 pennies
Step-by-step explanation:
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
The worth of a penny is 1 cent. Converting to dollars, it becomes
1/100 = $0.01
Let x represent the number of dimes that she has.
Let y represent the number of nickels that she has.
Let z represent the number of pennies that she has.
Meghan has 1.10 in dimes, nickels, and pennies. It means that
0.1x + 0.05y + 0.01z = 1.1- - - - -- - - -1
She has three times as many nickels as pennies. It means that
y = 3z
The number of dimes is two less than the number of pennies. It means that
x = z - 2
Substituting y = 3z and x = z - 2 into equation 1, it becomes
0.1(z - 2) + 0.05(3z) + 0.01z = 1.1
0.1z - 0.2 + 0.15z + 0.01z = 1.1
0.1z + 0.15z + 0.01z = 1.1 + 0.2
0.26z = 1.3
z = 1.3/0.26
z = 5
y = 3z = 3 × 5 = 15
x = z - 2 = 5 - 2
x = 3
