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07 Jan 2026, 23:19
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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:
85%
(hard)
Question Stats:
58% (03:04) correct
42%
(03:10)
wrong
based on 112
sessions
History
Date
Time
Result
Not Attempted Yet
A fixed amount of money is shared equally among some boys.
What is the total amount of money?
A. $120
B. $140
C. $160
D. $180
E. $200
- If 10 more boys had shared the same amount, each would receive $1 less.
- If 15 fewer boys had shared the same amount, each would receive $3 more.
What is the total amount of money?
A. $120
B. $140
C. $160
D. $180
E. $200
07 Jan 2026, 23:20
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One way to solve is to manipulate. I am not sure on this Bunuel but I read somewhere that in such kind of question usually A or E is the answer.
so check for 200,
40*5
50*4
25*8
Thus we get answer quickly instead of using algebra
so check for 200,
40*5
50*4
25*8
Thus we get answer quickly instead of using algebra
29 Jan 2026, 05:15
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(1) x/y = x/(y+10) + 1
(2) x/y = x/(y-15) - 3
Taking (1)
x/y = (x+y+10)/(y+10)
xy + 10x = xy + y^2 + 10y
10x = y^2 + 10y ...(1)
Taking (2)
x/y = (x - 3y + 45)/(y-15)
xy - 15x = xy - 3y^2 + 45y
15x = 3y^2 - 45y
5x = y^2 - 15 ...(2)
Multiplying (2) by 2 and substituting 10x from (1) in (2)
2y^2 - 30y = y^2 + 10y
y = 40
Substituting y = 40 in (2)
5x = 1000
x = 200
(2) x/y = x/(y-15) - 3
Taking (1)
x/y = (x+y+10)/(y+10)
xy + 10x = xy + y^2 + 10y
10x = y^2 + 10y ...(1)
Taking (2)
x/y = (x - 3y + 45)/(y-15)
xy - 15x = xy - 3y^2 + 45y
15x = 3y^2 - 45y
5x = y^2 - 15 ...(2)
Multiplying (2) by 2 and substituting 10x from (1) in (2)
2y^2 - 30y = y^2 + 10y
y = 40
Substituting y = 40 in (2)
5x = 1000
x = 200
