Carmen has $30 in store bucks and a 25% discount coupon for a local department store. What maximum d

Carmen has $30 in store bucks and a 25% discount coupon for a local department store. What maximum dollar amount can Carmen purchase so that after her store bucks and discount are applied, her total is no more than $60 before sales tax

Let the original price be p.
p

Apply 25% discount first, which is the same as subtracting 0.25:
p(1 - 0.25)

Subtract 30 for in store buck
p(1 - 0.25) - 30

The phrase no more than means an inequality using less than or equal to:
p(1 - 0.25) - 30 <= 60

To solve this inequality for p, we type it in our math engine and we get:
p <= 120