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21 Mar 2020, 00:34
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
98% (00:41) correct
2%
(00:17)
wrong
based on 65
sessions
History
Date
Time
Result
Not Attempted Yet
If, \(\frac{7a}{8} = \frac{a + 1}{3}\), then \(a =\)
(A) 8/13
(B) 7/8
(C) 2
(D) 7/3
(E) 15
(A) 8/13
(B) 7/8
(C) 2
(D) 7/3
(E) 15
21 Mar 2020, 05:56
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SajjadAhmad
Key concept: If \(\frac{a}{b}\) = \(\frac{c}{d}\), then \(ad=bc\)
Given: \(\frac{7a}{8} = \frac{a + 1}{3}\)
Cross multiply to get: \((7a)(3) = (8)(a+1)\)
Expand to get: \(21a = 8a+8\)
Subtract \(8a\) from both sides to get: \(13a = 8\)
Divide both sides by \(13\) to get: \(a = \frac{8}{13} \)
Answer: A
Cheers,
Brent
21 Mar 2020, 09:22
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Solution
Given
In this question, we are given that
- • An equation of a: 7a/8 = (a+1)/3
To find
We need to determine
- • The value of a, from the given equation
Approach and Working out
Simplifying the given equation, we get
- • 7a/8 = (a+1)/3
Or, 21a = 8a + 8
Or, 13a = 8
Or, a = 8/13
Thus, option A is the correct answer.
Correct Answer: Option A
