Need help solving this real life problem, I have an SD Card of $4$GB(gigabyte), and a $32$ second video occupies $6.12$MB(megabyte), I need to know how many minutes or seconds can this $4$GB SD Card hold?
$4$GB=$4000$MB
I tried $4000$MB/$6.12$MB$=653.59$MB but couldn't figure it out seconds or minutes!
Any help?
Thank you.
On
$$\frac{6.12\text{MB}}{32s}=\frac{4000\text{MB}}{x}$$ gives you $$x= \frac{4000\text{MB}}{6.12\text{MB}}\cdot 32s= \frac{4000}{6.12}\cdot 32s=20915s.$$ Now $$\left\lfloor\frac{20915}{60}\right\rfloor \text{ minutes} = 348 \text{ minutes}$$ and $$20915s-(60\cdot348)s=35s.$$ $348$ minutes and $35$ seconds are actually $5$ hours, $48$ minutes and $35$ seconds.
2 points, the first being units.
$\frac{4000MB}{6.12MB} = 653.59$, is a number with $\textbf{no}$ units, they cancel, in much the same way that $2 \text{ ft}$ is twice as long as $1 \text{ ft}$, as opposed to "$2$ ft as long as $1$ ft", which is nonsensical here.
The second is exactly 2mkgz said. Let's argue through this in words to clarify.
$32$ seconds of video occupies 6.12 megabytes. $6.12$ goes into $4000$ about $653.59$ times. Thus, we can get $653.59 \times 32$ seconds of video.
This is about $20915$ seconds (rounding to the nearest second), or $5$ hours, $48$ minutes, and 35 seconds.