Answer:
the original price of the phone case is $37.50.
Explanation:
1:- (4/5) represents the 40% discount, which means the phone case is priced at 60% of its original price.
- 0.6c represents the price after the 40% discount.
- The equation is set equal to 30, which represents the amount you actually paid.
2:To solve for the original price, we need to isolate c:
- Multiply both sides of the equation by the reciprocal of 0.6, which is 1/0.6 or 5/3, to get:
(5/3) * (4/5) * 0.6c = (5/3) * 30.
- Simplifying, we get:
(4/3) * c = 50.
3:Now, solve for c by dividing both sides of the equation by (4/3):
c = (50) / (4/3).
4:Simplify the expression:
c = (50) * (3/4).
5:Calculate the value of c:
c = 150 / 4 = $37.50.