Peter R. answered 03/06/24
Experienced Instructor in Prealgebra, Algebra I and II, SAT/ACT Math.
Another way to get the answer is to think about the $25.20 as 100% of the cost and the tax as 10% of the cost. So you pay a total of 110% (1.10)
$25.20(1.10) = $27.72. Don't need intermediate step of calculating the amount of the tax.
Algebraically it looks like 25.20 + 0.10(25.20). Factor out the 25.20 and get 25.20 (1 + 0.10) = 25.20(1.10).