The total amount Edgar paid for a slice of pizza and a tip of exactly 24% was between $2.50 and $3.00. What was the price of the pizza slice?

Question

I am wondering if there is some fast way to solve this problem.

Answer 1

He paid x+24x/100;

 

2.5≤x(1+24/100)≤3

2.5≤x(1+6/25)≤3

2.5≤x(31/25)≤3

(5/2)(25/31)≤x≤3(25/31)

$2.01613 ≤ x ≤ $2.41935, can't say exactly how much.