Question

A collection of 33 coins having dimes quarters and nickels, there are 3 times more nickels then dimes and half the amount of dimes as nickels, all of the coins equal $3.30 how many of each coin?

Answer 1

Answer:

Each coins are quarters of 6, nickels of 18 and the dimes of 9.

Step-by-step explanation:

There is a mistake in question.

The question must be:

A collection of 33 coins having dimes quarters and nickels, there are 3 times as many nickels as quarters, and one-half as many dimes as nickels, 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 $x$.

Nickels be $3x$.

And the dimes be $\frac{3x}{2}$.

So, the total collection of coins are:

$x+3x+\frac{3x}{2} =33.$

On adding the fractions we get:

$\frac{2x+6x+3x}{2} =33$

$\frac{11x}{2} =33$

Multiplying both sides by 2 we get:

$11x=66$

Dividing both sides by 11 we get:

$x=6.$

Thus, quarters = 6.

Nickels = $3x=3\times 6=18.$

Dimes = $\frac{3x}{2} =\frac{3\times 6}{2} =\frac{18}{2}=9 .$

Therefore, each coins are quarters of 6, nickels of 18 and the dimes of 9.