Question

The owner of a small store buys coats for ​$50.00 each. Answer parts a and b.
Question content area bottom
Part 1
a. She sells the coats for ​$70.00 each. What percent of the purchase price is the sale​ price?
The sale price is
  
140​% of the purchase price.
Part 2
b. The owner increases the sale price by the same percent that you found in part a when she buys jackets for ​$25 and sells them. How many jackets must the owner buy for the total jacket sales to be at least ​$340​? Explain your answer.
The owner must buy
  
10 ​jacket(s).
Part 3
Explain your answer.
She sells the jackets for
  
enter your response here​% of ​$25​, or ​$
  
enter your response here.
▼
340 divided by 140
140 divided by 35
340 divided by 35
340 times 140
140 divided by 340
140 times 25
340 times 25
140 times 35
340 divided by 25
340 times 35
equals
  
enter your response here. She can only sell a whole number of​ jackets, so she needs to sell
  
enter your response here.
​(Round to two decimal places as​ needed.)

Answer 1

Part (a) — already given: $70 is 140% of the $50 purchase price.

Part (b)
- Apply 140% to $25: 140% of $25 = 1.40 × $25 = $35. So each jacket sells for $35.
- Number needed for at least $340: 340 ÷ 35 = 9.7142857… ≈ 9.71 (to two decimals). Because she must sell whole jackets, she needs 10 jackets.
- Check: 9 jackets → 9×$35 = $315 (< $340); 10 jackets → 10×$35 = $350 (≥ $340).

Answer: 10 jackets.