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5 pens and 6 pencils together cost rs 9.00 and 3 pens and 2 pencils cost rs 5.00 .find the cost of 1 pen and 1 pencil

Posted by Anita Giri 5 years, 8 months ago

CBSE > Class 10 > Mathematics

2 answers

Yogita Ingle 6 years, 10 months ago

Let the cost of pen be x and pencil be y,
5x+6y=9    ...(i)
and 3x+2y-=5   ...(ii)
solving (i) and (ii) by eliminatory method we get;
    5x+6y=9
    3x+2y=5( Multiply by 3)
-> 9x+6y=15       ...(iii)
From (i) and (iii)
   5x + 6y=   9
   9x + 6y= 15
(-)     (-)       (-)
------------------------
   4x            = 6
------------------------
or x= 1.5
Substituting the value of x in (ii) we get
3(1.5)+ 2y=5
⇒ 4.5+2y=5
⇒ 2y= 5-4.5
⇒ y=0.5/2
⇒y =0.25

Therefore cost of pen is Rs1.5 and that of pencil is Rs 0.25.

1Thank You

Honey ??? 6 years, 10 months ago

Pen=1.5 and pencil=0.25

1Thank You

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CBSE > Class 10 > Mathematics