bell ringer: 1. mikey recently had new carpet installed. the cost of this new carpet, including…

bell ringer: 1. mikey recently had new carpet installed. the cost of this new carpet, including installation, was $8.14 per square foot before any discounts. the rectangular room he had carpeted measured 24 feet long and 18 feet wide. if mickey actually paid $3,235.16, what discount percentage did he receive? assume there are no taxes. 2. amazoo company donates 2% of the sales of its killer whale stuffed animal toy to a charity focused on protecting these animals. each toy sells for $25. last year the company donated $1,699.50 to the charity, based on sales of the toy. how many of the killer whale stuffed animal toys did amazoo sell last year?

bell ringer: 1. mikey recently had new carpet installed. the cost of this new carpet, including installation, was $8.14 per square foot before any discounts. the rectangular room he had carpeted measured 24 feet long and 18 feet wide. if mickey actually paid $3,235.16, what discount percentage did he receive? assume there are no taxes. 2. amazoo company donates 2% of the sales of its killer whale stuffed animal toy to a charity focused on protecting these animals. each toy sells for $25. last year the company donated $1,699.50 to the charity, based on sales of the toy. how many of the killer whale stuffed animal toys did amazoo sell last year?

Answer

Explanation:

Step1: Calculate original cost of carpet

The area of the rectangular room is $A = l\times w$, where $l = 24$ feet and $w=18$ feet. So $A=24\times18 = 432$ square - feet. The original cost before discount is $C_{original}=8.14\times432=$3516.48$.

Step2: Calculate discount amount

The discount amount $D = C_{original}-C_{paid}$, where $C_{original}=3516.48$ and $C_{paid}=3235.16$. So $D = 3516.48 - 3235.16=$281.32$.

Step3: Calculate discount percentage

The discount percentage $P=\frac{D}{C_{original}}\times100%$. Substituting the values, we get $P=\frac{281.32}{3516.48}\times100%\approx8%$.

Step4: Solve for number of toys sold

Let the number of toys sold be $n$. The amount donated is $2%$ of the total sales. The total sales of the toys is $25n$. The amount donated is $0.02\times25n$. We know that $0.02\times25n = 1699.50$.

Step5: Simplify the equation

First, simplify $0.02\times25n$. $0.02\times25n = 0.5n$.

Step6: Solve for $n$

We have the equation $0.5n = 1699.50$. Divide both sides by $0.5$: $n=\frac{1699.50}{0.5}=3399$.

Answer:

  1. The discount percentage is approximately $8%$.
  2. The number of killer - whale stuffed animal toys sold is $3399$.