Meghan has 1.10 in dimes, nickels, and pennies. She has three times as many nickels as pennies, and the number of dimes is two less than the number of pennies. How many dimes, nickels, and pennies does she have?

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

answer: c

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