**2/3 of the coins in a collection of quarters and dimes are quarters. The collection is worth $12. How many dimes are there?**

**Answer:**

I’m assuming your topic is system of equations

Set your variables first, let x be quarter and y be dime

now, you know how much they are all worth, and the value of each coin relative to each other so you can write .25x+.1y=12

These numbers were found because you know that a quarter is 25 cents, which is .25 of a dollar and a time is .1 dollar and both add up to 12 dollars.

Now your second equation is much simpler, you know that 2/3 of the coins are quarters. This means that you have two quarters for every dime so x=2y

.25(2y)+.1y=12

.6y=12

y=20

20 dimes