Algebra (Mrs.Sue) thank you :)
posted by micheal Garcia on .
Sal keeps quarters,nickels, and dimes in a jar. He has a total of 52 coins. He has three more quarters than dimes and five fewer nickels than dimes. How many dimes does sal have?

Let no. of dimes = x.
Then, no. of quarters = x + 3 and no. of nickels = x  5.
Total no. of coins = x + (x + 3) + (x  5).
This value is equal to 52.
So, x + (x + 3) + (x  5) = 52
or x + x + 3 + x  5 = 52
or 3x  2 = 52
or 3x = 52 + 2 = 54
or x = 54/3 = 18
So Sal have 18 dimes