An airline allows each passenger 48 kilograms of luggage. Carl has to lower the weight of his suitcase by 25% to stay within the limit.
How much did his suitcase originally weigh?

Question

An airline allows each passenger 48 kilograms of luggage. Carl has to lower the weight of his suitcase by 25% to stay within the limit. 
How much did his suitcase originally weigh?

jdoe0001 · Answer

his suitcase was overweight by 25%  from whatever he had, what he had was 100% of course, the whole weight

well, we know that when he dropped 25% of that, he ended up with 48kgs 
so  $ \begin{array}{ccllll}
quantity&percentage\
\hline\
x&100\
48&25
\end{array}\bf \implies \cfrac{x}{48}=\cfrac{100}{25}$

jdoe0001 · Answer

hmm... I got the wrong percentage..  =) one sec  $\begin{array}{llll}
quantity&percentage\
\hline\
x&100\
48&75
\end{array}\bf \implies \cfrac{x}{48}=\cfrac{100}{75}$


if he dropped 25%, 75% had to be within the allowed weight, that is 75% is 48kg

anonymous · Answer

Oh yea that works now thanks!