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23 May 2020, 07:23
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D
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84% (01:18) correct
16%
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If Randy has twice as many coins as Alice, and if Maria has 7 times as many coins as Alice, what is the combined number of coins that all three of them have?
(1) Alice has 4 fewer coins than Randy.
(2) Maria has 20 more coins than Randy.
ID: 700144
DS21245
(1) Alice has 4 fewer coins than Randy.
(2) Maria has 20 more coins than Randy.
ID: 700144
DS21245
bM22
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23 May 2020, 22:39
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Bunuel
If Randy has twice as many coins as Alice, and if Maria has 7 times as many coins as Alice, what is the combined number of coins that all three of them have?
(1) Alice has 4 fewer coins than Randy.
(2) Maria has 20 more coins than Randy.
DS21245
(1) Alice has 4 fewer coins than Randy.
(2) Maria has 20 more coins than Randy.
DS21245
Let the no. of coins that Alice has = x.
=> Randy has 2x coins and Maria has 7x coins.
Total no. of coins = x + 2x + 7x = 10x
Statement 1: Alice has 4 fewer coins than Randy.
=>2x- x = 4
=> x = 3.
=> 10x = 30 coins in total.
Thus we are able to obtain the value of the total no. of coins that all 3 of them have.
So Sufficient.
Statement 2: Maria has 20 more coins than Randy.
=> 7x = 2x + 20
=> 5x = 20
=> x = 4, 10x = 40.
Again we have the total no. of coins all 3 of them have.
So Sufficient.
Answer D.
24 May 2020, 11:05
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Bunuel
If Randy has twice as many coins as Alice, and if Maria has 7 times as many coins as Alice, what is the combined number of coins that all three of them have?
(1) Alice has 4 fewer coins than Randy.
(2) Maria has 20 more coins than Randy.
DS21245
(1) Alice has 4 fewer coins than Randy.
(2) Maria has 20 more coins than Randy.
DS21245
Given: Randy has twice as many coins as Alice, and if Maria has 7 times as many coins as Alice
Target question: What is the combined number of coins that all three of them have?
This is a good candidate for rephrasing the target question.
Let A = the number of coins Alice has
So 2A = the number of coins Randy has
And 7A = the number of coins Maria has
So, the COMBINED number of coins they have = A + 2A + 7A = 10A
REPHRASED target question: What is the value of 10A?
Aside: the video below has tips on rephrasing the target question
Statement 1: Alice has 4 fewer coins than Randy.
In other words: (the number of coins Alice has) = (the number of coins Randy has) - 4
Substitute to get: A = 2A - 4
Solve to get: A = 4, which means 10A = 40
Since we can answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT
Statement 2: Maria has 20 more coins than Randy.
In other words: (the number of coins Maria has) = (the number of coins Randy has) + 20
Substitute to get: 7A = 2A + 20
Solve to get: A = 4, which means 10A = 40
Since we can answer the REPHRASED target question with certainty, statement 2 is SUFFICIENT
Answer: D
Cheers,
Brent
VIDEO ON REPHRASING THE TARGET QUESTION:
