Question

Nina got a 86% on her science quiz. She got 43 questions correct. How
many questions were on the test? (What do you know, the part or the
whole?) *

Answer 1

Answer:

50 questions

Step-by-step explanation:

I solve these by setting up the ratio as two fractions.

You already know she scored 86/100, and are trying to find the number of total questions, which will be x. The second part is represented as 43/x.

$\frac{86}{100} = \frac{43}{x}$

Then, you solve for x. You could go through the entire process, but the shortcut I've been taught is to multiple the diagonal values, and divide by the corner, which is still the same thing condensed into 1 (technically 2) steps.

(43 x 100) / 86

= 4300 / 86

= 50

I hope this helped!

(You can check the answer by doing 43 / 50 and seeing if it matches up to 86%)