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Question
At a stationary shop, it costs Tk. 185 for 4 gel-pen, 8 ball -point pens and 1 marker pen and Tk. 315 for 7 gel-pens, 15 ball point pens and 1 marker pen. What would be the cost of 1 gel-pen, 1 ball -point pen and 1 marker pen?
Tk. 45
Tk. 55
Tk.60
Tk.70
ANSWER : 2
Descrption
<p><strong>Let, </strong></p><p><strong>price of gel-pen, ball-pen, and marker-pen are respectively x,y,z</strong></p><p><strong>First case,</strong></p><p><strong>4x+8y+z=185…………..(1)</strong></p><p><strong>2nd case,</strong></p><p><strong>7x+15y+z=315…………..(2)</strong></p><p><strong>eq. (2)-(1)>></strong></p><p><strong>3x+7y=130………………..(3)</strong></p><p><strong>Now eq. (2)-(3)*2 >></strong></p><p><strong>1x+1y+1z=315-260=55 </strong></p><p> </p><p> </p><p><strong>ans 55</strong></p><p><strong> </strong></p>
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