Question

You have 24 coins valued at $3.00. Some of the coins are dimes and some are quarters. Find the number of each coin that you have.

Answer 1

20 dimes and 4 quarters

Explanation:

So, a dime is 10 cents and a quarter is 25

So, let's say you have x dimes and y quarters

X+Y=24 (total amount of coins)

Also,

10x+25y= 300 (cents)

I just put the 3 dollars into cents

Now, you have a system of equations and we should solve it:

X+y=24 ----x=24-y

10x+25y=300

So substitute x in the 2nd equation

10(24-y)+25y=300

240-10y+25y=300

240+15y=300

15y=60

y=4

Now that you know the amount of quarters, you can just say that you will have 20 dimes since 24-4=20

So, 4 quarters and 20 dimes

Check:

20 dimes=2 dollars

4 quarters= 1 dollar

correct

Answer 2

10 Quarters and 5 dimes

Explanation:

10 Quarters = $2.50

5 dime = $0.50