if \(\frac{4m+3n}{4m-3n}=\frac{5}{2}\), find the ratio m:n
A
7:4
B
4:3
C
3:4
D
4:7
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\frac{4m + 3n}{4m - 3n} = \frac{5}{2}\)
\(5(4m - 3n) = 2(4m + 3n)\)
\(20m - 15n = 8m + 6n\)
\(20m - 8m = 6n + 15n\)
\(12m = 21n\)
\(\frac{21}{12} = \frac{m}{n}\)
\(m : n = 7 : 4\)
Source: Myschool Past Questions Archive (Record #26489)