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Beth's Bridal Shop sells two designer gowns online: Victorian Lady and 13 Jul 2020, 04:07
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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35% (medium)

Question Stats:

74% (02:48) correct 26% (03:28) wrong based on 69 sessions

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Beth's Bridal Shop sells two designer gowns online: Victorian Lady and Summer Delight. Selling just these two products, the company makes $44,995 in profits each year on the sale of 450 gowns. If the profit per gown is $75 and $140 for Victorian Lady and Summer Delight, respectively, how many Victorian Lace gowns does the shop sell per year?

A. 173
B. 177
C. 273
D. 277
E. 303
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D
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Beth's Bridal Shop sells two designer gowns online: Victorian Lady and 13 Jul 2020, 04:14
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Let the number of gowns sold be:
Victorian Lady - V
Summer Delight - S

S + V = 450 ................. (i)
140S + 75V = 44995 ....... (ii)

Solving (i) and (ii),
140*(450 - V) + 75V = 44995
63000 - 140V + 75V = 44995
65V = 18005
V = 277

Answer: D
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Beth's Bridal Shop sells two designer gowns online: Victorian Lady and 13 Jul 2020, 04:21
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Bunuel
Beth's Bridal Shop sells two designer gowns online: Victorian Lady and Summer Delight. Selling just these two products, the company makes $44,995 in profits each year on the sale of 450 gowns. If the profit per gown is $75 and $140 for Victorian Lady and Summer Delight, respectively, how many Victorian Lace gowns does the shop sell per year?

A. 173
B. 177
C. 273
D. 277
E. 303
Show more

Let the number of Victorian Lady gowns sold be V and Summer Delight gowns be S

From the question,

V+S = 450
75V+140S = 44995

Combining both

S = 173 and V = 277

Hence, OA: D
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Beth's Bridal Shop sells two designer gowns online: Victorian Lady and 14 Jul 2020, 00:13
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Bunuel
Beth's Bridal Shop sells two designer gowns online: Victorian Lady and Summer Delight. Selling just these two products, the company makes $44,995 in profits each year on the sale of 450 gowns. If the profit per gown is $75 and $140 for Victorian Lady and Summer Delight, respectively, how many Victorian Lace gowns does the shop sell per year?

A. 173
B. 177
C. 273
D. 277
E. 303
Show more

Solution


    • Let us assume that out of 450 gowns sold each year, v are Victorian Lady gowns and s are Summer Delight gowns.
      o \( v + s = 450 ……….Eq.(i)\)
    • Now, the profit on selling these 450 gowns is $44,995,
      o This means, \(75*v + 140*s = 44,995\)
      o Dividing both sides of the above equation by 5, we get,
         \(15*v + 28*s = 8,999 …….Eq.(ii)\)
    • Multiplying both sides of Eq.(i) by 28, we get
      o \(28v +28s = 28*450 \)
    • Now, subtracting Eq.(ii) from the above equation, we get,
      o \(13v = 28*450 – 8999 ⟹ 13v = 3601 ⟹ v = 277\)
Thus, the correct answer is Option D.
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Beth's Bridal Shop sells two designer gowns online: Victorian Lady and 17 Dec 2021, 23:25
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Profits/ year = $44995
Number of gowns sold= 450
Profit per gown for Victoria (V)= $75
Profit per gown for Summer (S) = $ 140

Equation 1: based on profits earned

75V + 140S = 44995

Equation 2: based on total number of gowns sold

V+S= 450

Multiple equation 2 with 75

New equation 2: 75V + 75S= 33750

Compare equation 1 and new equation 2:

75V + 140S= 44995
75V + 75S= 33750

Change the signs and cancel, to get:

65S= 11245
S= 173

Therefore, V= 277 (D)

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Beth's Bridal Shop sells two designer gowns online: Victorian Lady and 18 Dec 2021, 02:55
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We can estimate and use weighted average logic.

Since the total overall profits is very close to a multiple of the 450 gown —- let overall profits be $45,000

Overall Profits per dress = ($45,000) / 450 = $100

V = number of Victorian dresses sold ——> profit per dress sold = $75

D = number of Summer Design dresses sold ——> profit per dress sold = $140

V ………………... D
75 ……………… 140
…….…(100)……….
____________________
40………………… 25

Ratio of Dressed sold is =

V : D = 40 : 25 = 8 : 5

8/13 of the 450 dresses will be V dresses

(8/13) (450) = (8) (34 and 8/13) =

8/13 is a little greater than > 1/2

Around: (8) (34.5) = 276

Since this is a little bit of an underestimate, the correct answer should be

277

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