SOLUTION: You have at least $30 in change in your drawer, consiting of dimes and quarters. Write an inequality that shows the different number of coins in your drawer.

You have at least $30 in change in your drawer,
consiting of dimes and quarters. Write an inequality 
that shows the different number of coins in your drawer.

.10d + .25q = 30

That may be all your teacher wants.

or

10d + 25q = 3000

Divide theough by 5

2d + 5q = 600

Maybe that's the form your teacher wants.

Or you can go further:

2d + (4q + q) = 600

2d + 4q + q = 600

Divide through by 2

d + 2q +  = 300

Isolate the fraction:

 = 300 - d - 2q

The right side is an integer A,
so the left side must equal integer A also

 = A ;  300 - d - 2q = A

q = 2A

Substitute:

300 - d - 2(2A) = A

300 - d - 4A = A

-d = 5A - 300

d = -5A + 300

d = 300 - 5A

d > 0 so

300 - 5A > 0
     -5A > -300
       A < 60

q = 2A

q > 0 so

2A > 0
 A > 0

So 0 < A < 60

So you may choose A as any integer between 0 and 60
 
Then the number of dimes will be 300 - 5A and the
number of quarters will be 2A.

Edwin