Question

Connor has $9.00 in dimes and quarters. If he has twice as many quaters as dimes, how many of each coin does he have?

Answer 1

Hi There!

Answer:

30 quaters.

15 dimes.

Step-by-step explanation:

Quarter = $0.25

Dime = $0.10

Quarters: 0.25 * 30 = $7.50

Dimes: 0.10 * 15 = $1.50

Check: 7.50 + 1.50 = $9

Hope This Helps :)

Answer 2

So since we have a relationship between quarters and dimes, let's use dimes=d
$0.1d+(0.25)2d=9$
This says that dimes(0.1 dollars) and twice as many dimes(quarters so 0.25) is 9 dollars. So it is
$0.1d+0.5d=9$
Combining we get
$0.6d = 9$
Dividing by 0.6 we get
$d=15$
Since there are twice as many quarters as dimes, the answer is 15 dimes and 30 quarters.