Julie is selling lemonades in two sizes, small and large.

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pm; Followed by:23 members

Julie is selling lemonades in two sizes, small and large.

by BTGmoderatorDC » Mon Jun 24, 2019 9:23 pm

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Julie is selling lemonades in two sizes, small and large. Small lemonades cost $0.52 and large lemonades cost $0.58. How many small lemonades did Julie sell?

(1) Julie sold a total of 9 lemonades.

(2) Julie's total revenue from the sale of lemonades was $4.92

OA B

Source: Veritas Prep

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Source: Beat The GMAT — Data Sufficiency | Mon Jun 24, 2019 9:23 pm

deloitte247: Legendary Member; Posts: 2214; Joined: Fri Mar 02, 2018 2:22 pm; Followed by:5 members

by deloitte247 » Tue Sep 03, 2019 9:39 am

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Let small lemonades = S
Let Large lemonades = L
1S = $0.52 and 1L = $0.58
Question=> How many small lemonades did she sell?
Statement 1: Julie sold a total of 9 lemonades.
S+L=9 but the value of L is unknown. Hence, we cannot find the total small lemonades sold. Statement 1 is, therefore, NOT SUFFICIENT.

Statement 2: Julie's total revenue from the sale of lemonades was $4.92.
Through a try and error approach;

1 large = $0.58
1 small = $0.52
Revenue = 1.1

2S = $0.52 * 2 = $1.04
2L = $0.58 * 2 = $1.16
Revenue = 2.2

3S = $0.52 * 3 = $1.56
3L = $0.58 * 3 = $1.74
Revenue = 3.3

4S = $0.52 * 4 = $2.08
4L = $0.58 * 4 = $2.32
Revenue = 4.4
Revenue on 4S and 4L is still less than 4.92 but close.
4.92 - 4.4 = 0.52

Since 1 small lemonade = 0.52, then it means that if Julie sell another 1 small lemonade, his revenue will be $4.92.
1S = $0.52 * 5 = $2.6
1L = $0.58 * 4 = $2.32
Therefore, S+L = $4.92

So, Julie revenue of $4.92 is obtained from the sale of 5 small and 4 large lemonades respectively.
So therefore, statement 2 alone is SUFFICIENT.

Answer = option B