Answer:
M/N=5/8 or 62.5%
Step-by-step explanation:
when turning the word problem to equation...
[tex]\frac{x}{y} \frac{80}{100}*M=\frac{50}{100}N\\\\ \frac{80M}{100}=\frac{50N}{100}\\ then you should criss-cross\\\100(80M)=100(50N) then you divide both sides by 100)\\80M=50N\\\\\frac{80M}{80}=\frac{50N}{80}\\ M=\frac{50}{80}=\frac{5N}{8}[/tex]
since you have the value of M in terms of N you should substitute M by 5N/8.
[tex]\frac{M}{N}=\frac{\frac{5N}{8} }{N}={\frac{5N}{8} }*{\frac{1}{N} }=\frac{5N}{8N}=\frac{5}{8}[/tex]
if you want it as a percent just multiply 5/8 by 100%.
[tex]BY PERCENT=\frac{5}{8}*100%=\frac{500}{8}=62.5%[/tex]
[tex]\frac{500}{8}=62.5%[/tex] =62.5%