Jorge has some dimes and quarters. he has 10 more dimes than quarters and the collection of coins is worth $2.40. how many more dimes and quarters does jorge have

Okay, so let's make the variable x the amount of quarters.
We also need to assign the value to the numbers as well. So then you just assign 25 to quarters and 10 to dimes. So the equation should look like this:
25x + 10(x+10) = 240 (Values represented in cents...)
Distribute...
25x + 10x + 100 = 240
Then...
35x = 140
Define x
x = 4
So there are 4 quarters and 14 dimes