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Josh, the manager of a bookstore café, is completing his weekly sales

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shob737
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Josh, the manager of a bookstore café, is completing his weekly sales [#permalink] New post   Updated on: 16 Oct 2022, 21:21
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Josh, the manager of a bookstore café, is completing his weekly sales summary. Each customer bought either a cappuccino or a juice and the café sold 50% more juice than cappuccino. One third of the customers who did not buy a cappuccino also bought a brownie and 3/4 of the total customers bought a bagel. If the number of bagels sold was 300 more than three times the number of brownies, how many customers did Josh's café serve?

A) 400
B) 800
C) 1200
D) 2000
E) 6000
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D

Originally posted by shob737 on 16 Oct 2022, 04:14.
Last edited by shob737 on 16 Oct 2022, 21:21, edited 1 time in total.
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rajtare
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Re: Josh, the manager of a bookstore café, is completing his weekly sales [#permalink] New post   16 Oct 2022, 14:40
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shob737 wrote:
Josh, the manager of a bookstore café, is completing his weekly sales summary. Each customer bought either a cappuccino or a juice and the café sold 50% more juice than cappuccino. One third of the customers who did not buy a cappuccino also bought a brownie and of the total customers bought a bagel. If the number of bagels sold was 300 more than three times the number of brownies, how many customers did Josh's café serve?

A) 400
B) 800
C) 1200
D) 2000
E) 6000


Can you please check this question. i didn't get this part "One third of the customers who did not buy a cappuccino also bought a brownie and of the total customers bought a bagel", some information seems to be missing
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shob737
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Josh, the manager of a bookstore café, is completing his weekly sales [#permalink] New post   Updated on: 24 Nov 2022, 05:27
rajtare wrote:
shob737 wrote:
Josh, the manager of a bookstore café, is completing his weekly sales summary. Each customer bought either a cappuccino or a juice and the café sold 50% more juice than cappuccino. One third of the customers who did not buy a cappuccino also bought a brownie and of the total customers bought a bagel. If the number of bagels sold was 300 more than three times the number of brownies, how many customers did Josh's café serve?

A) 400
B) 800
C) 1200
D) 2000
E) 6000


Can you please check this question. i didn't get this part "One third of the customers who did not buy a cappuccino also bought a brownie and of the total customers bought a bagel", some information seems to be missing


It's "3/4 of the total customers". Thanks for pointing that out! Edited.

Originally posted by shob737 on 16 Oct 2022, 21:26.
Last edited by shob737 on 24 Nov 2022, 05:27, edited 1 time in total.
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rajtare
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Re: Josh, the manager of a bookstore café, is completing his weekly sales [#permalink] New post   17 Oct 2022, 07:15
shob737 wrote:
Josh, the manager of a bookstore café, is completing his weekly sales summary. Each customer bought either a cappuccino or a juice and the café sold 50% more juice than cappuccino. One third of the customers who did not buy a cappuccino also bought a brownie and 3/4 of the total customers bought a bagel. If the number of bagels sold was 300 more than three times the number of brownies, how many customers did Josh's café serve?

A) 400
B) 800
C) 1200
D) 2000
E) 6000


number of people who drink cappuccino =x
number of people who drink juice = (3/2)x
Total customer served = x+ (3/2)x = (5/2)x
Also, number of people who bought a brownie = 1/3*(3/2)*x = x/2
Also people who bought bagel = (3/4)*(5/2)x = 15x/8

also bagel = 300 + 3*brownie
15x/8 = 300 + 3*(x/2)

15x/8 - 3x/2 = 300

or 3x/8 = 300 or x = 800

thus total customer served = (5/2)*800 = 2000

hence d
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Re: Josh, the manager of a bookstore café, is completing his weekly sales [#permalink]
17 Oct 2022, 07:15
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