Question

Victoria's Secret gives you $10 off when you spend $50 on a purchase. The Body Shop gives you $11 off when you spend $55. Which deal is better?

Answer 1

Both Victoria's Secret and The Body Shop offer a 20% discount on their respective purchases; hence, neither deal is better purely based on the percentages.

Step-by-step explanation:

To determine which deal is better, we can compare the discount percentages each offer provides. For Victoria's Secret, a $10 discount on a $50 purchase represents a 20% discount. Likewise, The Body Shop's $11 discount on a $55 purchase is exactly a 20% discount as well.

To calculate the discount percentages, we use the formula: (Discount ÷ Original Price) × 100. For Victoria's Secret: (10 ÷ 50) × 100 = 20%. For The Body Shop: (11 ÷ 55) × 100 = 20%. Since both stores offer the same percentage off, neither deal is strictly better than the other based on percentage alone. However, it is worth considering the actual items for purchase and personal preference for one store over the other.

Answer 2

well, 10 bucks off 50, can be written as a ratio of 10/50 and 11 bucks off 55 can be written as a ratio of 11/55, hmmm which is better or namely, which gives you more savings, the larger the fraction, the better the savings, let's check

`\stackrel{\textit{Victoria's Secret}}{\cfrac{10}{50}\implies \cfrac{1}{5}}\hspace{5em}\stackrel{\textit{Body Shop}}{\cfrac{11}{55}\implies \cfrac{1}{5}} \qquad \textit{neither is better, both are equal}`