17. heidi earns 3% commission on the jewelry she sells each week. last week, she sold the pieces of jewelry…
17. heidi earns 3% commission on the jewelry she sells each week. last week, she sold the pieces of jewelry shown. a. how much did she make in commission? b. reasoning how much did the jewelry store take in from her sales? how do you know?
Answer
Explanation:
Step1: Calculate total sales
Add up the prices of the jewelry: (110 + 275+200 + 145). [ \begin{align*} &110+275+200 + 145\ =&(110+275)+(200 + 145)\ =&385+345\ =&730 \end{align*} ]
Step2: Calculate commission (for part a)
Heidi's commission rate is (3%=0.03). Multiply total sales by the commission rate: (0.03\times730). [0.03\times730 = 21.9]
Step3: Calculate store's take (for part b)
The store's take is the total sales minus the commission. Since the commission is (3%) of total sales, the store takes (100%-3% = 97%=0.97) of total sales. Multiply total sales by (0.97): (0.97\times730). [ \begin{align*} 0.97\times730&=(1 - 0.03)\times730\ &=730-0.03\times730\ &=730 - 21.9\ &=708.1 \end{align*} ]
Answer:
a. Heidi made ($21.9) in commission. b. The jewelry store took in ($708.1). We know this because the store's share is (97%) (or (1- 0.03)) of the total sales of ($730).