Answer
The response given most often is totally honest.
400 responded totally honest.
$\frac{7}{12}$ responded totally honest or fib a little.
Work Step by Step
$\frac{1}{3}$ is larger than the other fractions, so the response given most often is totally honest.
$1200 \times \frac{1}{3}$ = $\frac{1200}{3}$ = 400
400 responded totally honest.
$\frac{1}{3} + \frac{1}{4}$
Multiply the denominators to find the LCM of 12.
$\frac{1}{3} + \frac{1}{4}$ = $\frac{4}{12} + \frac{3}{12}$ = $\frac{7}{12}$
