If you make $100 every 10 minutes, how long will it take to make $5000?

Write it out as an algebraic equation. 10 min / $100 = x min /$500
Multiply both sides by the denominator under 'x' to get rid of it

($5000) 10 min/ $100 = ($5000)xmin /$5000

The {5000/5000) on the right side of the equation =1, so you have :
$5000x10min/$100 =x min
(5000x10)/100 = x min with the $ 'cancelling' out in both the numerator and denominator, so
500 min = x min

500 minutes.If this is homework, be sure to show your work.