chaitanya.bhansali wrote:Andy and Brenda have a total sum of $1330. If 3/23 of Andy's amount is equal to 9/26 of
Brenda's amount, approximately what percent more money does Brenda need to have in order to have an amount equal to that of Andy?
A) 26.5 B) 38
C) 52 D) 126.5 E) 165
Since the question stem asks for a PERCENT, the total sum can be ANY VALUE.
Let B = $26.
Then 9/26 of B = (9/26)(26) = 9.
Since 9/26 of B is equal to 3/23 of A, we get:
9 = (3/23)A
(9*23)/3 = A.
A = $69.
We need to determine what percent must be added to B=26 to get A=69.
Since the question stem asks for the APPROXIMATE percentage, test easy cases.
If 100% added to B, we get:
26 + 100% of 26 = 26 + 26 = 52.
Too small.
If 150% is added to B, we get:
26 + 150% of 26 = 26 + 39 = 65.
Still too small.
The correct answer must be greater than 150.
The correct answer is
E.
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