Question 129782
The price she paid for 30 kg is x dollars per kg.  So the total amount she paid is 30x dollars.  The price she could have paid was then x - 0.95 dollars per kg, and the total amount she would have paid for 32.5 kg would then be 32.5(x-.95), and we are given that these two quantities are equal.  So:


{{{32.5(x-.95)=30x}}}


{{{32.5x-30.875=30x}}}


{{{32.5x-30x=30.875}}}


{{{2.5x=30.875}}}


{{{x=12.35}}}


So the price of the expensive cheese is $12.35/kg.


Check:

12.35 * 30 = $370.50


12.35 - .95 = 11.40.  11.40 * 32.5 = $370.50.  Answer checks.


By the way, 30 kg of cheese is a little over 66 lbs of cheese, more than twice the annual per captia cheese consumption in the US in 2005 (31.2 lbs(14.2 kg) according to Food and Drink Weekly, June 6, 2005).  Maybe Mr. Lim runs a pizza restaurant...