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guddo
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The owner of an apartment purchased 1 window screen, 1 door handle 03 Jan 2024, 07:10
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35% (medium)

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82% (02:54) correct 18% (03:03) wrong based on 662 sessions

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The owner of an apartment purchased 1 window screen, 1 door handle, and 1 ceiling fan for her apartment. The regular price of the window screen was 80% greater than the regular price of the door handle, and the regular price of the ceiling fan was twice the sum of the regular prices of the window screen and the door handle. The 3 items were sold at a 50% discount off their regular prices. The total price that the owner paid for the 3 items, excluding tax but after the 50% discount, was $50.40. What was the regular price of the door handle?

A. $6.00
B. $8.00
C. $12.00
D. $12.80
E. $16.40

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C
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The owner of an apartment purchased 1 window screen, 1 door handle 03 Jan 2024, 10:08
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given
WS + DH+ CF = 50.4
WS= 1.8 DH
CF = 2 * ( WS+ DH)

SP was 50% of regular prices
WS + DH+CF = 100.8
1.8DH + DH + 5.6DH = 100.8
8.4DH = 100.8
DH = 12
OPTION C

guddo
The owner of an apartment purchased 1 window screen, 1 door handle, and 1 ceiling fan for her apartment. The regular price of the window screen was 80% greater than the regular price of the door handle, and the regular price of the ceiling fan was twice the sum of the regular prices of the window screen and the door handle. The 3 items were sold at a 50% discount off their regular prices. The total price that the owner paid for the 3 items, excluding tax but after the 50% discount, was $50.40. What was the regular price of the door handle?

A. $6.00
B. $8.00
C. $12.00
D. $12.80
E. $16.40

Show Spoiler
Attachment:
2024-01-03_18-08-17.png
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The owner of an apartment purchased 1 window screen, 1 door handle 06 Mar 2024, 07:04
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Archit3110
given
WS + DH+ CF = 50.4
WS= 1.8 DH
CF = 2 * ( WS+ DH)

SP was 50% of regular prices
WS + DH+CF = 100.8
1.8DH + DH + 5.6DH = 100.8
8.4DH = 100.8
DH = 12
OPTION C

guddo
The owner of an apartment purchased 1 window screen, 1 door handle, and 1 ceiling fan for her apartment. The regular price of the window screen was 80% greater than the regular price of the door handle, and the regular price of the ceiling fan was twice the sum of the regular prices of the window screen and the door handle. The 3 items were sold at a 50% discount off their regular prices. The total price that the owner paid for the 3 items, excluding tax but after the 50% discount, was $50.40. What was the regular price of the door handle?

A. $6.00
B. $8.00
C. $12.00
D. $12.80
E. $16.40

Show Spoiler
Attachment:
2024-01-03_18-08-17.png
Show more
­How can you quickly calculate 8.4DH = 100.8?
I got to 25.2/ 2.1 and messed up as with the rushing I thought = 12.5
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The owner of an apartment purchased 1 window screen, 1 door handle 12 Jun 2024, 08:23
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ruis

Archit3110
given
WS + DH+ CF = 50.4
WS= 1.8 DH
CF = 2 * ( WS+ DH)

SP was 50% of regular prices
WS + DH+CF = 100.8
1.8DH + DH + 5.6DH = 100.8
8.4DH = 100.8
DH = 12
OPTION C

guddo
The owner of an apartment purchased 1 window screen, 1 door handle, and 1 ceiling fan for her apartment. The regular price of the window screen was 80% greater than the regular price of the door handle, and the regular price of the ceiling fan was twice the sum of the regular prices of the window screen and the door handle. The 3 items were sold at a 50% discount off their regular prices. The total price that the owner paid for the 3 items, excluding tax but after the 50% discount, was $50.40. What was the regular price of the door handle?

A. $6.00
B. $8.00
C. $12.00
D. $12.80
E. $16.40

Show Spoiler
Attachment:
2024-01-03_18-08-17.png
­How can you quickly calculate 8.4DH = 100.8?
I got to 25.2/ 2.1 and messed up as with the rushing I thought = 12.5
Show more
visualize it leveraging fractions so :1008/10 * 10/84­ and then simplifying you get 12
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The owner of an apartment purchased 1 window screen, 1 door handle 17 Dec 2025, 06:28
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DH = x

As WS was 80% greater than DH;

WS = x + 0.80x = 1.8x

Twice the sum of the regular prices of WS and DH;
CF = 2(1.8x + x) = 2(2.8x) = 5.6x

Total = DH + WS + CF = x + 1.8x + 5.6x = 8.4x

Apply 50% discount : 0.5 * 8.4x = 4.2x

Total price = $50.40 then,

4.2x = 50
x = 50.4/4.2 = 12.00
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