SOLUTION: If a is increased by 10% and b is decreased by 10%, the resulting numbers will be equal. What is the ratio of a to b ?
(A) 9/11 (B) 9/10 (C) 1/1 (D) 10/9 (E) 11/
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-> SOLUTION: If a is increased by 10% and b is decreased by 10%, the resulting numbers will be equal. What is the ratio of a to b ?
(A) 9/11 (B) 9/10 (C) 1/1 (D) 10/9 (E) 11/
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Question 252886: If a is increased by 10% and b is decreased by 10%, the resulting numbers will be equal. What is the ratio of a to b ?
(A) 9/11 (B) 9/10 (C) 1/1 (D) 10/9 (E) 11/9 Answer by ptaylor(2198) (Show Source):
You can put this solution on YOUR website! If we increase a by 10% we will get a+0.1a
If we decrease b by 10% we will have b-0.1b
(a+0.1a)/(b-0.1b)=1
1.1a=0.9b multiply each side by 10
11a=9b divide each side by b and also 11
a/b=9/11
CK
(9+0.9)/(11-1.1)=9.9/9.9=1
Hope this helps ---ptaylor
