Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?
Submitted by: Administrator5*pen+7*pencil+4*eraser=x;
6*pen+14*pencil+8*eraser=x+0.5x=1.5x;
7*pencil=x-5*pen-4*eraser;--> eq1
14*pencil=1.5x-6*pen-8*eraser=> 7*pencil=(1.5*x-6*pen-8*eraser)/2;-->eq2
x-5*pen-4*eraser=0.75x-3*pen-4*eraser;
0.25x=2*pen;
1*pen=0.125x;
thus 5pens=5*0.125x;
=0.625x
=62.5%
Submitted by: Administrator
6*pen+14*pencil+8*eraser=x+0.5x=1.5x;
7*pencil=x-5*pen-4*eraser;--> eq1
14*pencil=1.5x-6*pen-8*eraser=> 7*pencil=(1.5*x-6*pen-8*eraser)/2;-->eq2
x-5*pen-4*eraser=0.75x-3*pen-4*eraser;
0.25x=2*pen;
1*pen=0.125x;
thus 5pens=5*0.125x;
=0.625x
=62.5%
Submitted by: Administrator
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