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31 May 2021, 05:45
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E
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:
76% (01:44) correct
24%
(02:19)
wrong
based on 55
sessions
History
Date
Time
Result
Not Attempted Yet
Tina and Rebecca had the same number of candies. Tina gave Rebecca 24 candies so that now Rebecca has five times as many candies as Tina has. Rebecca has now how many candies?
A. 36
B. 48
C. 54
D. 55
E. 60
A. 36
B. 48
C. 54
D. 55
E. 60
31 May 2021, 06:23
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Bunuel
Let x = the number of candies Tina ORIGINALLY had
So x = the number of candies Rebecca ORIGINALLY had
Tina gave Rebecca 24 candies so that now Rebecca has five times as many candies as Tina has.
x - 24 = the number of candies Tina has NOW
x + 24 = the number of candies Rebecca has NOW
We can write: x +24 = 5(x - 24)
Expand: x +24 = 5x - 120
Subtract x from both sides of the equation: 24 = 4x - 120
Add 120 to both sides of the equation: 144 = 4x
Divide both sides by 4 to get: x = 36
Important: x = the number of candies each person ORIGINALLY had, and x + 24 = the number of candies Rebecca has NOW
Since x = 36, we get x + 24 = 36 + 24 = 60
So Rebecca NOW has 60 candies
General Discussion
10 Dec 2022, 09:47
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BrentGMATPrepNow
Hi BrentGMATPrepNow, can this be solved with using 2 variables as below? Thanks Brent
5 (T-24) = R + 24
