Shirley has 18 coins. One sixth of the coins are quarters, one third of the coins are dimes, and one half of the coins are nickels. What is the value of Shirley's coins?

1/6 of 18 =3

so shirley has 3 quarters =75 cents

1/3 of 18=6

so shirley has 6 dimes =60 cents

and 1/2 of 18=9

so shirley has 9 nickels= 45 cents

75+60+45=180 cents

To find the value of Shirley's coins, we first need to determine how many of each kind of coin she has.

Let's start with the given information:
- One sixth of the coins are quarters: 1/6 * 18 = 3 quarters
- One third of the coins are dimes: 1/3 * 18 = 6 dimes
- One half of the coins are nickels: 1/2 * 18 = 9 nickels

Now, we can calculate the value of each type of coin:
- The value of a quarter is $0.25: 3 quarters * $0.25 = $0.75
- The value of a dime is $0.10: 6 dimes * $0.10 = $0.60
- The value of a nickel is $0.05: 9 nickels * $0.05 = $0.45

Finally, we add up the values of all the coins: $0.75 + $0.60 + $0.45 = $1.80

Therefore, the value of Shirley's coins is $1.80.