Solve the following equation: 6⁄11 = 114⁄n.?

6⁄11 = 114⁄n

Cross multiply:
6n = (11)(114)

Divide each side by 6:
n = (11)(114)/(6) = 209

C. n = 209

That is not an equation. If you meant 6/11-114/n=0 then 114/n=6/11 6n=1254 n=209

6 n = 1254
n = 209

OPTION C

Hi,

This question presents us with something called a proportion.

Therefore, we need to remember that we need to Cross-Multiply here such that we get:

6n = 11(114)

We can be simplified to:

6n = 1254

Now, we need to divide both sides by 6 to get n alone and get:

n = 209 <=== FINAL ANSWER (C)

I hope that helps you out! Please let me know if you have any other questions!

6/11 = 114/n
6n/11 = 114
6n = 1254
n = 1254/6
n = 209
(answer C)

Of course, simply cross multiplication leads to the answer, but if you recognise the following, the road to the answer becomes clearer.

6 / 11 = (6 * a) / (11 * a). That is, you can multiply both sides with the same number (some value a), and the value remains the same.

So, for 6 / 11 and 114 / n to be the same, we want 114 to be written in the form 6 * a. Clearly, a = 114 / 6 = 19.

Evidently, 6 / 11 = (6 * 19) / (11 * 19), so n = 11 * 19 = 209

answer: C
Cuz n = (114*11)/6

6⁄11 = 114⁄n

n = 11 * 114 / 6 = 11 * 19 = 209

6/11 = 114/n
(6/11)n = 114
n = 114/(6/11)
n = (114 x 11) / 6
n = 209

You could also flip it upside down to make it easier.

11/6 = n/114
n = (11/6)114
n = 209