# Thread: SAT QOTD - Oct 07

1. ## SAT QOTD - Oct 07

Guys I really am not thinking on how can I solve this question of the SAT Question of the day. Can someone guide me , my guess is to set this up as a ratio but I can't figure it out.

Problem:

2. ## Re: SAT QOTD - Oct 07

set up a ratio ...

$\displaystyle \frac{3 \, acres}{7 \, gal} = \frac{x \, acres}{16 \, gal}$

solve for x

3. ## Re: SAT QOTD - Oct 07

Originally Posted by skeeter
set up a ratio ...

$\displaystyle \frac{3 \, acres}{7 \, gal} = \frac{x \, acres}{16 \, gal}$

solve for x
$\displaystyle x=&\frac{48}{7}$

4. ## Re: SAT QOTD - Oct 07

Originally Posted by vaironxxrd
$\displaystyle x=&\frac{48}{7}$
Correct.

5. ## Re: SAT QOTD - Oct 07

Originally Posted by e^(i*pi)
Correct.

Then why is it telling me that $\displaystyle \frac{48}{7}$
Is the same as $\displaystyle 6\frac{6}{7}$ they give different results

6. ## Re: SAT QOTD - Oct 07

Originally Posted by vaironxxrd
Then why is it telling me that $\displaystyle \frac{48}{7}$
Is the same as $\displaystyle 6\frac{6}{7}$ they give different results
Mixed fractions should be banished in my opinion

$\displaystyle \dfrac{48}{7} = \dfrac{42+6}{7} = \dfrac{42}{7} + \dfrac{6}{7} = 6 + \dfrac{6}{7} = 6\dfrac{6}{7}$

7. ## Re: SAT QOTD - Oct 07

Originally Posted by e^(i*pi)
Mixed fractions should be banished in my opinion

$\displaystyle \dfrac{48}{7} = \dfrac{42+6}{7} = \dfrac{42}{7} + \dfrac{6}{7} = 6 + \dfrac{6}{7} = 6\dfrac{6}{7}$
Oh I dint remembered that process sorry for that problem