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11 Jul 2022, 08:00
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C
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:
74% (01:58) correct
26%
(02:50)
wrong
based on 300
sessions
History
Date
Time
Result
Not Attempted Yet
On a 2022 World Cup De Bruyne, Ronaldo, Mbappe and Messi together scored x goals. Out of these, 27 goals were not scored by De Bruyne, 22 goals were not scored by Ronaldo, 20 goals were not scored by Mbappe and 18 goals were not scored by Messi. How many goals did Messi score ?
A. 7
B. 9
C. 11
D. 13
E. 29
M38-02
A. 7
B. 9
C. 11
D. 13
E. 29
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M38-02
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12 Jul 2022, 02:00
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Bunuel
GMAT CLUB Official Explanation:
Say the number of goals scored by De Bruyne, Ronaldo, Mbappe and Messi be a, b, c, and d, respectively. Then we'd have:
- 27 goals were not scored by De Bruyne: \(27 = x - a\)
22 goals were not scored by Ronaldo: \(22 = x - b\)
20 goals were not scored by Mbappe: \(20 = x - c\)
18 goals were not scored by Messi: \(18 = x - d\)
Sum the above four equations:
- \(87 = 4x - a - b - c - d\)
Since \(x = a + b + c + d\) (we are told that together they scored x goals), then:
- \(87 = 4x - x\);
\(x=29\)
Hence, Messi scored:
- \(18 = x - d\);
\(18 = 29 - d\);
\(d=11\)
Answer: C.
General Discussion
11 Jul 2022, 08:06
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IMO Answer - C (11)
Total goals are x. The goals scored by each player = x minus goals not scored by the player
DB = x - 27
RON = x - 22
MB = x - 20
MS = x - 18
The sum of their goals is x, so:
x = 4x - 87
Simplifying which, you get x = 29.
Messi's goals = 29 - 18 = 11
Total goals are x. The goals scored by each player = x minus goals not scored by the player
DB = x - 27
RON = x - 22
MB = x - 20
MS = x - 18
The sum of their goals is x, so:
x = 4x - 87
Simplifying which, you get x = 29.
Messi's goals = 29 - 18 = 11
