Duane has four dimes, half as many nickels as dimes, and three times as many quarters as nickels. How much money does Duane have?
4(.10) + 2(.05) + 6(.25) =
.40+.10+1.50=2.00
$2.00
To find out how much money Duane has, we need to determine the value of each type of coin and then add them up.
First, let's determine the value of one dime. A dime is worth 10 cents.
Since Duane has four dimes, the total value of dimes is 4 * 10 = 40 cents.
Next, we need to find out the value of one nickel. A nickel is worth 5 cents.
Since Duane has half as many nickels as dimes, he has 4 / 2 = 2 nickels.
The total value of nickels is 2 * 5 = 10 cents.
Finally, let's find out the value of one quarter. A quarter is worth 25 cents.
Since Duane has three times as many quarters as nickels, he has 2 * 3 = 6 quarters.
The total value of quarters is 6 * 25 = 150 cents.
Now, to calculate the total amount of money Duane has, we add up the values of dimes, nickels, and quarters.
Dimes: 40 cents
Nickels: 10 cents
Quarters: 150 cents
Total: 40 + 10 + 150 = 200 cents.
Therefore, Duane has $2.00.