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Sajjad1994
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Jack and Jill want to withdraw a certain sum of money from the automat 10 Jan 2024, 10:15
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Jack: 1050 Jill: 150
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

35% (medium)

Question Stats:

72% (01:53) correct 28% (02:14) wrong based on 343 sessions

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Data Insights (DI) Butler 2023-24 [Question #192, Date: Jan-10-2024] [Click here for Details]

Jack and Jill want to withdraw a certain sum of money from the automated teller machine (ATM). In his first transaction, Jack has withdrawn 60% of the money he wants to withdraw, and Jill has withdrawn 20% of the money he wants to withdraw. Together, the two amounts are equal to 55% of the combined amount that Jack and Jill want to withdraw.

In the table below, Select amounts that Jack and Jill want to withdraw that are jointly consistent with the given information. Make only two selections, one in each column.
Jack Jill $
50
100
150
500
750
1050
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riuu
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Jack and Jill want to withdraw a certain sum of money from the automat Updated on: 10 Jan 2024, 12:04
Originally posted by riuu on 10 Jan 2024, 11:17.
Last edited by riuu on 10 Jan 2024, 12:04, edited 1 time in total.
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0.60X + 0.20Y = 0.55 (X+Y)
0.60X - 0.55X = 0.55Y - 0.20Y
0.05X = 0.35Y
5X = 35Y
X = 7Y

Jack - 1050
Jill - 150

Ria
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Jack and Jill want to withdraw a certain sum of money from the automat 10 Jan 2024, 11:45
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Sajjad1994
Data Insights (DI) Butler 2023-24 [Question #192, Date: Jan-10-2024] [Click here for Details]

Jack and Jill want to withdraw a certain sum of money from the automated teller machine (ATM). In his first transaction, Jack has withdrawn 60% of the money he wants to withdraw, and Jill has withdrawn 20% of the money he wants to withdraw. Together, the two amounts are equal to 55% of the combined amount that Jack and Jill want to withdraw.

In the table below, Select amounts that Jack and Jill want to withdraw that are jointly consistent with the given information. Make only two selections, one in each column.
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VivekSri
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Jack and Jill want to withdraw a certain sum of money from the automat 10 Jan 2024, 11:47
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riuu
0.60X + 0.20Y = 0.55 (X+Y)
0.60X - 0.55X = 0.55Y - 0.20Y
0.05X = 0.35Y
5X = 35Y
X = 7Y

Jack - 150
Jill - 1050

Ria
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Hey riuu I guess your process is right, but I think you reversed the answer, Jack should be 1050 and Jill should be 150, plz check once
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Jack and Jill want to withdraw a certain sum of money from the automat 08 Apr 2024, 21:20
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­Jack: K
Jill: L

60% K + 20% L = 55% (K+L)

=> \(\frac{60}{100} * K + \frac{20}{100} * L = \frac{55}{100} * K+ \frac{55}{100} * L\)

=> \(\frac{5}{100} K = \frac{35}{100} L\)

=> \(\frac{K}{L} = \frac{35}{5} = 7\)

From the answer choices
K (Jack) = 1050
L  (Jill) = 1050­
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