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Pierre sells lemonade for 2 dollars per glass. His costs include 5 lem

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Math Expert
Joined: 02 Sep 2009
Posts: 58464
Pierre sells lemonade for 2 dollars per glass. His costs include 5 lem  [#permalink]

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27 Feb 2019, 23:54
00:00

Difficulty:

35% (medium)

Question Stats:

70% (02:19) correct 30% (01:48) wrong based on 30 sessions

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Pierre sells lemonade for 2 dollars per glass. His costs include 5 lemons per glass at 25 cents per lemon, and 3 tablespoons of sugar per glass at 5 cents per tablespoon. If Pierre made at least 5 dollars in one day, and there were no other costs associated with making or selling the lemonade, how many glasses of lemonade could he have sold on that day?

I. 9
II. 10
III. 11

A. I only
B. I and II only
C. II and III only
D. I and III only
E. I, II, and III

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Pierre sells lemonade for 2 dollars per glass. His costs include 5 lem  [#permalink]

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Updated on: 28 Feb 2019, 10:43
cost of lemonades 5*.25 ; 1.25
and sugar 3*.05 ;.15
total cost per glass = 1.4\$
SP 2 \$
proft ; 2-1.4 ; 0.6 \$
he makes 5\$ per day
or say 5/.6 ; 8.33 glass ~ 9
so he needs to make at least 9 glasses to meet 5 \$ in one day rate
so Pierre could have made 9,10,11 glasses
IMO E

Bunuel wrote:
Pierre sells lemonade for 2 dollars per glass. His costs include 5 lemons per glass at 25 cents per lemon, and 3 tablespoons of sugar per glass at 5 cents per tablespoon. If Pierre made at least 5 dollars in one day, and there were no other costs associated with making or selling the lemonade, how many glasses of lemonade could he have sold on that day?

I. 9
II. 10
III. 11

A. I only
B. I and II only
C. II and III only
D. I and III only
E. I, II, and III

Originally posted by Archit3110 on 28 Feb 2019, 06:14.
Last edited by Archit3110 on 28 Feb 2019, 10:43, edited 1 time in total.
Intern
Joined: 04 Apr 2017
Posts: 3
Re: Pierre sells lemonade for 2 dollars per glass. His costs include 5 lem  [#permalink]

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28 Feb 2019, 10:01
SP = 2
Cost = 1.40

1. 9 Glasses -- 18.00 - 12.60 = \$5.40 (Yes)
2. 10 Glasses - 20.00 - 14.00 = \$6.00 (Yes)
3. 11 Glasses - 22.00 - 15.40 = \$6.60 (Yes)

Of course after we calculate the first statement there is no need to calculate the other 2.

IMO E.
Intern
Joined: 01 Jul 2018
Posts: 20
Re: Pierre sells lemonade for 2 dollars per glass. His costs include 5 lem  [#permalink]

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10 Mar 2019, 02:06
min profit = 5
Cost= (1/4)*5 + (1/20)*3=1.4\$
Set up profit equation --> P*Q - C*Q = Profit
2Q - 1.4Q = 5
Q(0.6)=5
Q= 5/(3/5) = 8.3 units required to make at least 5\$ profit.
Thus, I, II, III are correct.
Go for (E)
Re: Pierre sells lemonade for 2 dollars per glass. His costs include 5 lem   [#permalink] 10 Mar 2019, 02:06
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