# HELP me! I'm Stuck!

• June 1st 2006, 10:30 AM
laser2302
HELP me! I'm Stuck!
Hi guys, I'm having a problem with one math question. Please help me out. Here's the questions

"Mrs Lim buys 30 kg 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 32.5 kg for the same amount of money. What is the price per kg of the cheese which is more expensive?"

The answer to this however question is \$12.35. But I don't know how this question is solved, I don't know how to form the equation. What is the proper equation?

Thankyou!
• June 1st 2006, 11:28 AM
CaptainBlack
Quote:

Originally Posted by laser2302
Hi guys, I'm having a problem with one math question. Please help me out. Here's the questions

"Mrs Lim buys 30 kg 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 32.5 kg for the same amount of money. What is the price per kg of the cheese which is more expensive?"

The answer to this however question is \$12.35. But I don't know how this question is solved, I don't know how to form the equation. What is the proper equation?

Thankyou!

Let $p$ be the price of the cheese per kg in dollars. Then we
know she spent:

$s= 30p$ dollars.

The second cheese costs $p-0.95$ dollars per kg, so if she
could have bought 32.5kg for the same as she spent on the other cheese
we have:

$s=32.5 (p-0.95)$ dollars.

Which leaves you with and equation for the price of the first cheese per kg:

$30p=32.5 (p-0.95)$.

Which you have to solve.

RonL