Question

1. If the cost of 37 pens and 53 pencils
together is 320, while 53 pens and
37 pencils together cost 400. The cost of
two pens is
(a) * 6.50
(b) *1.50
(c) 13.00
(d) * 15.00
ye topic kaun sa hai​

Answer 1

Let the cost of a pen be Rs.x and that of a pencil be Rs.y. Then,

37x+53y=320..(I)

and, 53x+37y=400 ..(ii)

Adding equations (i) and (ii), we get

90x+90y=720⇒x+y=8 ..(iii)

Substituting equation (i) and (ii), we get

16x−16y=80⇒x−y=5 ..(iv)

Adding equations (iii) and (iv), we get

2x=13⇒x=6.5

Substituting x=6.5 in equation (iii), we get

y=(8−6.5)=1.5

Hence, cost of one pen = Rs. 6.50 and cost of one pencil =Rs. 1.50.

Topic: linear equations

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