College

At a local flower shop, corsages are on sale. Each corsage costs [tex]$10[/tex], but the florist will sell every third corsage purchased at a 60% discount. To save money, a group of 12 friends, going to a school dance, decide to purchase corsages together.

How much will it cost to buy 12 corsages?

A. \$84
B. \$96
C. \$104
D. \$120

Answer :

To find out how much it will cost to buy 12 corsages with the discount, let's break down the process:

1. Original Cost: Each corsage originally costs [tex]$810.

2. Discount: The florist offers a 60% discount on each corsage.

3. Discount Amount: To find the discount amount per corsage, calculate 60% of $[/tex]810.
- 60% of 810 is calculated as [tex]\( \frac{60}{100} \times 810 = 486 \)[/tex].
- So, each corsage is discounted by [tex]$486.

4. Discounted Cost: Subtract the discount amount from the original cost to find the price after the discount.
- Original cost per corsage: $[/tex]810
- Discount per corsage: [tex]$486
- Discounted cost per corsage: \( 810 - 486 = 324 \)

5. Total Cost for 12 Corsages: Multiply the discounted cost per corsage by the total number of corsages being purchased.
- Discounted cost per corsage: $[/tex]324
- Number of corsages: 12
- Total cost: [tex]\( 324 \times 12 = 3888 \)[/tex].

Therefore, the total cost to buy 12 corsages, with the discount applied, is [tex]$3888. The correct answer cannot be found among the options provided of $[/tex]84, [tex]$96, $[/tex]104, and [tex]$120. It seems there might be a misunderstanding with the given options, but based on the calculations, the total cost is $[/tex]3888.