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TCAP Practice-SHOW WORK!
TCAP Practice-SHOW WORK!
POSSIBLE POINTS:
A department store sold 
20% of the dresses they had in stock. After the sale they had 60 dresses left.
What was the original number of dresses before the sale?
A 48
B. 72
C. 75
D. 80
A
B
C
D

TCAP Practice-SHOW WORK!\newlineTCAP Practice-SHOW WORK!\newlinePOSSIBLE POINTS:\newlineA department store sold 20% 20 \% of the dresses they had in stock. After the sale they had 6060 dresses left.\newlineWhat was the original number of dresses before the sale?\newlineA 4848\newlineB. 7272\newlineC. 7575\newlineD. 8080\newlineA\newlineB\newlineC\newlineD

Full solution

Q. TCAP Practice-SHOW WORK!\newlineTCAP Practice-SHOW WORK!\newlinePOSSIBLE POINTS:\newlineA department store sold 20% 20 \% of the dresses they had in stock. After the sale they had 6060 dresses left.\newlineWhat was the original number of dresses before the sale?\newlineA 4848\newlineB. 7272\newlineC. 7575\newlineD. 8080\newlineA\newlineB\newlineC\newlineD
  1. Calculate Remaining Dresses: They sold 20%20\% of the dresses and had 6060 left, so 6060 dresses represent the remaining 80%80\% after the sale.
  2. Find Original Number: To find the original number of dresses, we need to calculate 100%100\% of the stock. Let's call the original number of dresses 'xx'.
  3. Calculate 8080% of Original: So, 80%80\% of xx equals 6060 dresses. We write this as 0.80×x=600.80 \times x = 60.
  4. Divide to Find x: To find 'x', we divide both sides by 0.800.80. So, x=600.80x = \frac{60}{0.80}.
  5. Check Answer: Calculating that gives us x=75x = 75 dresses.
  6. Check Answer: Calculating that gives us x=75x = 75 dresses.But wait, we need to check the options given. The answer 7575 is option C, so that's our answer.

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