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Sub 505 Level|   Math Related|         
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LunaticBabe
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12 Days of Christmas GMAT Competition - Day 2: An artisan bakery sells 18 Dec 2024, 05:12
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Consider S -> Sourdough, R -> Rye & W -> Wheat

S = (0.4)*Total
R = S - 150

Hence:

If Total = 1000
S = 400
R = 250 &
W = 1000 - (400 + 250)
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An artisan bakery sells three types of bread: whole wheat, sourdough, and rye. In a certain month, sourdough sales account for 40% of the total loaves sold and exceed rye sales by 150 loaves.

If the bakery sold 1,000 loaves in that month, select for Whole wheat loaves the number of whole wheat loaves sold, and select for Rye loaves the number of rye loaves sold in that month. Make only two selections, one in each column.
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NickAcunaL
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12 Days of Christmas GMAT Competition - Day 2: An artisan bakery sells 18 Dec 2024, 05:22
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W: Whole wheat loaves
R: Rye loaves
S: Sourdough loaves


S = 0.4 Total
S = 150 + R


Total = 1000


=> S = 400


400 = 150 + R
R = 250


W + R = 600
W = 350
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12 Days of Christmas GMAT Competition - Day 2: An artisan bakery sells 18 Dec 2024, 05:25
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whole wheat sold =w
sourdough sold=s
rye sold=r

Total bread sold, t=w+s+r

Given:
1) s=40%*t
2)s=r+150
3)t=1000

Substituting (3) in (1)
s=400----- (4)

Substituting (4) in (2)
r=250

Therefore, w=t - (s+r)
=1000-(400+250)
=350
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12 Days of Christmas GMAT Competition - Day 2: An artisan bakery sells 18 Dec 2024, 06:14
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Out of 1000 loaves, 400 are sourdough and rye loaves must be 400-150= 250

Therefore, whole wheat loaves = 1000-400-250 = 350

Therefore, whole wheat loaves =350 and Rye loaves = 250
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12 Days of Christmas GMAT Competition - Day 2: An artisan bakery sells 18 Dec 2024, 06:53
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Given: SD = 0.4 T (Total) = R+150; R = 0.4T-150;
WW+SD+R = T = 1000;
WW+0.4*1000+0.4*1000-150 = 1000; WW = 350; R = 250
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12 Days of Christmas GMAT Competition - Day 2: An artisan bakery sells 18 Dec 2024, 07:59
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Represent Sourdough as S

Rye as R

Wheat as W

S=0.4*100

S=R+150

S=400

R=400-150

=250

W=1000-400-250

=350
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12 Days of Christmas GMAT Competition - Day 2: An artisan bakery sells 18 Dec 2024, 08:10
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1000 Loaves sold between whole wheat, sourdough, and rye.

40% of total sales is for sourdough = 400

Rye is 150 lesser than sourdough = 150

Whole wheat = Total - Sourdough - Rye
Using above 2 condition -> 1000 - 400 - 150 = 350
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12 Days of Christmas GMAT Competition - Day 2: An artisan bakery sells 18 Dec 2024, 08:26
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Given:
- Total loaves sold = 1000
- Sourdough sales = 40% of total sales
- Sourdough sales exceed rye sales by 150 loaves

Calculations:
- Sourdough loaves: \(40\% \times 1000 = 400\) loaves
- Rye loaves: \(400 - 150 = 250\) loaves
- Whole wheat loaves: \(1000 - (400 + 250) = 350\) loaves

Conclusion:
- The bakery sold 350 whole wheat loaves and 250 rye loaves in that month.

Bunuel
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This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

 



An artisan bakery sells three types of bread: whole wheat, sourdough, and rye. In a certain month, sourdough sales account for 40% of the total loaves sold and exceed rye sales by 150 loaves.

If the bakery sold 1,000 loaves in that month, select for Whole wheat loaves the number of whole wheat loaves sold, and select for Rye loaves the number of rye loaves sold in that month. Make only two selections, one in each column.
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12 Days of Christmas GMAT Competition - Day 2: An artisan bakery sells 18 Dec 2024, 08:31
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Since total is 1000, Let whole white be w, sourdough be (40%) 400, rye is (450-150) 250. So w 1000-400-250= 350 while rye is 250 hence ED
Bunuel
12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

 


This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

 



An artisan bakery sells three types of bread: whole wheat, sourdough, and rye. In a certain month, sourdough sales account for 40% of the total loaves sold and exceed rye sales by 150 loaves.

If the bakery sold 1,000 loaves in that month, select for Whole wheat loaves the number of whole wheat loaves sold, and select for Rye loaves the number of rye loaves sold in that month. Make only two selections, one in each column.
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12 Days of Christmas GMAT Competition - Day 2: An artisan bakery sells 18 Dec 2024, 09:22
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Total loaves sold=1,000

Sourdough sales= 40/100*1000= 400 units of sourdough
1,000-400=600(remaining units of both Whole Wheat and Rye bread sold)

Rye sales= 400-150
=250

Whole Wheat sales= 600-250
=350
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