Question

your family needs a set of 4 tires. which of the following deals would you prefer? complete the explanation below to tell which deal(s) would be better.
(i) buy 3, get one free
(ii) 20% off
(iii) \\( \frac { 1 } { 4 } \\) off
the best deal would be either (select) \\( \vee \\). either case would result in a discount of \\( \square \\% \\).
which is better than the other alternative of \\( \square \\% \\).

Explanation:

Step1: Calculate discount for "Buy 3, get one free"

Let the price of each tire be \(x\).
Original cost for 4 tires \(=4x\).
After "Buy 3, get one free", cost \(=3x\).
Discount amount \(=4x - 3x=x\).
Discount percentage \(=\frac{x}{4x}\times100 = 25\%\)

Step2: Calculate discount for "20% off"

Discount percentage is directly given as \(20\%\)

Step3: Calculate discount for "\(\frac{1}{4}\) off"

\(\frac{1}{4}\) as a percentage is \(\frac{1}{4}\times100 = 25\%\)

Answer:

The best deal would be either (I) or (III). Either case would result in a discount of \(25\%\), which is better than the other alternative of \(20\%\) (from deal (II)).