Answer:
Each coins are quarters of <u>6</u>, nickels of <u>18</u> and the dimes of <u>9</u>.
Step-by-step explanation:
<u><em>There is a mistake in question.</em></u>
The question must be:
A collection of 33 coins having dimes quarters and nickels, <u>there are 3 times as many nickels as quarters, and one-half as many dimes as nickels</u>, all of the coins equal $3.30 how many coins of each kind are there?
Now, to find the number coins of each.
Let the quarters be .
Nickels be .
And the dimes be .
So, the total collection of coins are:
On adding the fractions we get:
Multiplying both sides by 2 we get:
Dividing both sides by 11 we get:
Thus, quarters = 6.
Nickels =
Dimes =
Therefore, each coins are quarters of 6, nickels of 18 and the dimes of 9.