Answer:
50% off deal is better.
Step-by-step explanation:
Given : Deal 50% off or buy one, get one at half price.
To find : Which is a better deal on a $7.99 item ?
Solution :
The cost of item is $7.99.
Deal 50% off,
The cost of item became,
[tex]C=7.99-50\%\text{ of }7.99[/tex]
[tex]C=7.99-\frac{50}{100}\times 7.99[/tex]
[tex]C=7.99-3.995[/tex]
[tex]C=3.995[/tex]
The cost of item at deal 50% off is $3.995.
Deal buy one, get one at half price,
The cost of item became,
The cost of one item is $7.99.
The cost of second item is half of one i.e. [tex]\frac{7.99}{2}=3.995[/tex]
Total cost of two item is [tex]7.99+3.995=11.985[/tex]
The cost of one item became [tex]\frac{11.985}{2}=5.9925[/tex]
The cost of item at deal buy one, get one at half price is $5.9925.
As 5.9925 > 3.995
Deal of buy one, get one at half price cost more than 50% off deal.
Therefore, 50% off deal is better.
