SOLUTION: Mr.Lim buys 30kg of cheese at a certain price. She finds that if she had bought some cheaper cheese costing 95 cents less per kg , she could have had 32.5kg for the same amount of

Question 129782: Mr.Lim buys 30kg of cheese at a certain price. She finds that if she had bought some cheaper cheese costing 95 cents less per kg , she could have had 32.5kg for the same amount of money . What is the price per kg of the cheese which is more expensive ?
Sir, help me Please
Found 3 solutions by oscargut, solver91311, josmiceli:
Answer by oscargut(2103)   (Show Source): You can put this solution on YOUR website!
Mr.Lim buys 30kg of cheese at a certain price. She finds that if she had bought some cheaper cheese costing 95 cents less per kg , she could have had 32.5kg for the same amount of money . What is the price per kg of the cheese which is more expensive ?
let x the the price per kg of the more expensive cheese
30x=32.5(x-0.95)
then
-2.5x=-0.95(32.5)=-30.875
then x=30.875/2.5=12.35
R: the price is 12.35 per kg
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!
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:

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...
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the price per kg of the cheese she bought
Let = what she paid for the cheese

The cheaper cheese cost 95 cents less per kg, or

Note that is the same becase the cheese cost her
the same amount
Set the 's equal to eachother

This is in cents, since I used 95 cents in the equation
So, the price per kg that she paid was $12.35
This is the more expensive cheese
check answer:

This verifies that she would have paid $370.50 in either case
RELATED QUESTIONS
Mrs. Schmeiderer is making a cheese tray containing Cheddar and Swiss cheese that will... (answered by richwmiller)
Mrs Parkson buys some oranges from a supermarket. She finds that: I. If she buys a dozen (answered by josgarithmetic,MathTherapy)
Avis Proctor works at a gourmet delicatessen. She is preparing a cheese tray for a large... (answered by solver91311,stanbon)
Sophia owns a cheese factory. The amount of cheese, in kilograms, that she sells in one... (answered by josmiceli)
Maria owns a cheese factory. The amount of cheese, in kilograms, that she sells in one... (answered by solver91311)
Maria owns a cheese factory. The amount of cheese, in kilograms, that she sells in one... (answered by solver91311)
Maria owns a cheese factory. The amount of cheese, in kilograms, that she sells in one... (answered by solver91311)
A chef has one cheese that contains 45% fat and another cheese that contains 20% fat. How (answered by josmiceli)
Harry buys cheese at a deli. He buys 1/4 pound of cheese at a cost of x dollars per... (answered by josgarithmetic,ikleyn)