Carcass wrote:
If mn ≠ 0 and 25 percent of n equals \(37\frac{1}{2}\) percent of m, what is the value of \(\frac{12n}{m}\)?
A) 18
B) \(\frac{32}{3}\)
C) 8
D) 3
E) \(\frac{9}{8}\)
Useful conversions:
25% = 1/4
37.5% = 3/825 percent of n equals 37(1/2) percent of mIn other words, 1/4 of n equals 3/8 of m
We get: n/4 = 3m/8
What is the value of 12n/m?Take n/4 = 3m/8
Cross-multiply to get: (8)(n) = (3m)(4)
Simplify: 8n = 12m
Divide both sides by m to get: 8n/m = 12
[ALMOST THERE!!!]Multiply both sides by 1.5 to get: 12n/m = 18
Answer: ACheers,
Brent