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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
74% (01:01) correct
26%
(01:31)
wrong
based on 34
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A downtown theater sells each of its floor seats for a certain price and each of its balcony seats for a certain price. If Matthew, Linda, and Jake each buy tickets for this theater, how much did Jake pay for one floor seat and one balcony seat?
(1) Matthew bought four floor seats and three balcony seats for $82.50.
(2) Linda bought eight floor seats and six balcony seats for $165.00.
(1) Matthew bought four floor seats and three balcony seats for $82.50.
(2) Linda bought eight floor seats and six balcony seats for $165.00.
30 Jan 2020, 03:46
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Bunuel
A downtown theater sells each of its floor seats for a certain price and each of its balcony seats for a certain price. If Matthew, Linda, and Jake each buy tickets for this theater, how much did Jake pay for one floor seat and one balcony seat?
(1) Matthew bought four floor seats and three balcony seats for $82.50.
(2) Linda bought eight floor seats and six balcony seats for $165.00.
(1) Matthew bought four floor seats and three balcony seats for $82.50.
(2) Linda bought eight floor seats and six balcony seats for $165.00.
Solution
Step 1: Analyse Question Stem
- • Let’ say the price of a balcony seat is b and the price of a floor seat is f.
• We need to find the value of f+b
Step 2: Analyse Statements Independently
Statement 1: Matthew bought four floor seats and three balcony seats for $82.50.
- • According to this statement, \(4f + 3b = 82.50\)
Hence, statement 1 is not sufficient and we can eliminate answer options A and D
Statement 2: Linda bought eight floor seats and six balcony seats for $165.00.
- • According to this statement, \( 8f + 6b\)\( =165.00\)
Hence, statement 2 is also not sufficient and we can eliminate answer option B.
Step 3: Analyse Statements by combining
- • From statement 1: \(4f+3b = 82.50\)
• From statement 2: \(8f+6b = 165.00\)
• We can simplify the equation given in statement 2 as shown below :
- o \(2(4f+3b) = 165.00\)
- o Or, \(4f+3b = 82.50\)
Thus, the correct answer is Option E.
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