Megan 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?

dimes-3

nickels-15

pennies-5

Explanation: let the number of penny (p) = x

Therefore,

Nickels which is 3 times as many as pennies;

Nickel (n) = 3x

Dimes is 2 less than pennies

Dime (d) = x - 2

Total worth of dimes, nickel and pennies = $1.10

Using the relation:

1 dime is worth 10 cent

1 penny worth 1 cent

1 nickel worth 5 cent

10d + 5n + p

Mathematically,

$1.10 = 110 cent

10d + 5n + p = 110

Substituting the value of p, n and d into the relation

10 (x-2) + 5 (3x) + x = 110

10x - 20 + 15x + x = 110

26x - 20 = 110

26x = 130

x = 5

Therefore,

x = penny = 5

x - 2 = dime = 5-2 = 3

3x = nickel = 3*5 = 15