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23 Dec 2020, 04:00
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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:
55%
(hard)
Question Stats:
63% (02:48) correct
38%
(02:52)
wrong
based on 88
sessions
History
Date
Time
Result
Not Attempted Yet
When Caroline travels on business, she is reimbursed $16 more per day for meals than for lodging. If she were given 50% more for lodging and 2/3 as much for meals, the difference would be reversed. What is the total daily amount that Caroline is reimbursed for food and lodging?
(A) $32
(B) $48
(C) $64
(D) $72
(E) $80
(A) $32
(B) $48
(C) $64
(D) $72
(E) $80
23 Dec 2020, 07:30
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\(F-L = 16\)
or, \(4F-4L=64\) -->1
\(1.5L-\frac{2}{3}F = 16\)
or,\( 9L-4F=96\) -->2
Solving 1 and 2, \(5L=160 => L= 32\)
Sub \(L\) in equ. 1, \(F=48\)
\(F+L=32+48=80\)
IMO Ans E
or, \(4F-4L=64\) -->1
\(1.5L-\frac{2}{3}F = 16\)
or,\( 9L-4F=96\) -->2
Solving 1 and 2, \(5L=160 => L= 32\)
Sub \(L\) in equ. 1, \(F=48\)
\(F+L=32+48=80\)
IMO Ans E
26 Dec 2020, 19:09
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IMO E,
explanation,
Let, Reimbursement for Lodging be "L"
thus, Reimbursement for Meal = L + 16
from the second part of the question if, there is 50 % more on reimbursement on lodging and only 2/3 on meal then, there difference of reimbursement between lodging and meal will be reversed or i.e. L-16
so the eqation is 1.5 L - 2/3 (16+L) = L-16
L=32, M=48, giving a total of 80
explanation,
Let, Reimbursement for Lodging be "L"
thus, Reimbursement for Meal = L + 16
from the second part of the question if, there is 50 % more on reimbursement on lodging and only 2/3 on meal then, there difference of reimbursement between lodging and meal will be reversed or i.e. L-16
so the eqation is 1.5 L - 2/3 (16+L) = L-16
L=32, M=48, giving a total of 80
