Mathematics

# if m + 4n = 2n + 8m ; what is the ratio of n to m ? a) 1:4, b) 1:-4, c) -4:1, d) 2:7, e) 7:2

### Answers

#### BettieZumbrunnen

4 years ago

m + 4n = 2n + 8m

To answer the ratio, massage this equation around to find ' n/m ' .

Let's subtract 'm' from each side:

4n = 2n + 7m

Subtract '2n' from each side:

2n = 7m

Divide each side by 'm' :
2 (n/m) = 7

Divide each side by 2 :

n/m = 7/2 . . . . . there's your ratio.  That's choice-'e'.

#### yassautumn

4 years ago

$m + 4n = 2n + 8m\\ 7m=2n\\ m=\frac{2}{7}n\\\\ \frac{n}{m}=\frac{n}{\frac{2}{7}n}=\frac{7}{2}$