Ajar of coins has only dimes and quarters in it. combined there are a total of 120 coins. the total of all the coins is $25.65. how many dimes and quarters are there?

So for this, we will create a system of equations. With our information, this is our system (let x = dimes and y = quarters):

So with this system, I will be using the substitution method. With the first equation, subtract y on both sides of the equation:

Now, since we know that x = 120 - y, substitute that into the second equation and solve for y as such:

Now that we have the value of y, substitute it into either equation to solve for x:

In short, there are 29 dimes and 91 quarters.

step-by-step explanation:

this is not possible to solve with the info given.   you need at least an one angle somewhere.