Question

A coin purse contains d dimes and q quarters.There are 20 coins in the purse and the total value of the coins is $4.25.which system of equations represents the situation

Answer 1

The correct way to express your answer somewhat escapes me for the moment (insomnia for days) but the first answer doesn't satisfy ALL of your question because the total amount of money exceeds the given total of $4.25. I know that you have 15 quarters and 5 dimes to satisfy everything. 15+5=20 coins and 15x.25=3.75
5x.10=.50
$3.75 + .50 = $4.25
I hope this helps and you can convey it properly.

Answer 2

25q + 10d = 425
q + d = 20

First thing's first, picture 4 quarters. Do you know how much these 4 quarters are worth? Obviously, you'd answer one dollar, but take the time to think about how exactly you came up with this answer.

"Well, it's simple," you might think, "Multiply 0.25 by 4."

Similar to this train of thought, the first equation is formulated by doing exactly that. 'q' represents an unknown number of quarters, and 'd' an unknown number of dimes. We use 25q and 10d, because, well, we're multiplying their value by the number of coins. They're equivalent to 425 because the 20 unknown coins make $4.25 (I converted it to cents to get rid of the pesky decimals, but if you want to keep it as dollars that works too).

Because the equation states that there are 20 coins in total, we know that we can make the equation 'q + d = 20' since there are 20 quarters and dimes in total.

Let me know if you need any further explanation :)
-T.B.