SOLUTION: If the price of lettuce goes down 10cents per kilo, one will be able to get 3 kilos more lettuce with P3.60 than was possible at the lower price. What was the lower price?

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Question 1186989: If the price of lettuce goes down 10cents per kilo, one will be able to get 3 kilos more
lettuce with P3.60 than was possible at the lower price. What was the lower price?
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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If the price of lettuce goes down 10cents per kilo, one will be able to get 3 kilos more
lettuce with P3.60 than was possible at the lower price. What was the lower price?
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Let x be the lower price.

Then the higher price was (x+0.10).


From the condition, you have this equation

    3.60%2Fx - 3.60%2F%28x%2B0.10%29 = 3


To simplify, divide both sides by 3

    1.20%2Fx - 1.20%2F%28x%2B0.10%29 = 1.      (1)


Now you can guess the answer MENTALLY:  x = 0.30.


CHECK.  1.20%2F0.30 - 1.20%2F0.40 = 4 - 3 = 1.    ! Correct !

Solved.

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Alternatively, instead of guessing, you may solve equation (1) algebraically,
reducing it to a quadratic equation.