Question 1148677
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{{{highlight(cross(devide))}}} <U>divide</U> 240 in two parts in the ratio 5:7.
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<pre>
Let x be the shorter part; then the longer part is (240-x).


And the condition says that


    {{{x/(240-x)}}} = {{{5/7}}}.


Cross-multiply


    7x = 5*(240-x)

    7x = 1200 - 5x

    7x + 5x = 1200

    12x     = 1200

      x     = 1200/12 = 100.


<U>ANSWER</U>.  The parts are  100  and  140.
</pre>

Solved.


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The shorter solution is possible, too (for more advanced students).


<pre>
From the condition, the parts are 5x and 7x, where "x" is the common measure of the parts.


Then 5x + 7x = 240,  12x = 240  and  x= 20.


It implies that the parts are  100 and 140, exactly as in the previous solution.
</pre>


You can choose EITHER solution depending on your level and preferences.