Question 1186989
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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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<pre>
Let x be the lower price.

Then the higher price was (x+0.10).


From the condition, you have this equation

    {{{3.60/x}}} - {{{3.60/(x+0.10)}}} = 3


To simplify, divide both sides by 3

    {{{1.20/x}}} - {{{1.20/(x+0.10)}}} = 1.      (1)


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


<U>CHECK</U>.  {{{1.20/0.30}}} - {{{1.20/0.40}}} = 4 - 3 = 1.    ! Correct !
</pre>

Solved.


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Alternatively, instead of guessing, you may solve equation (1) algebraically,

reducing it to a quadratic equation.