SOLUTION: 1. A person bought some pens and pencils for Rs. 564. If each pen cost Rs.7 and each pencil Rs.3 and the total number of pens and pencils he bought was RS. 108.find the number of e

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 1. A person bought some pens and pencils for Rs. 564. If each pen cost Rs.7 and each pencil Rs.3 and the total number of pens and pencils he bought was RS. 108.find the number of e      Log On


   

Question 159537: 1. A person bought some pens and pencils for Rs. 564. If each pen cost Rs.7 and each pencil Rs.3 and the total number of pens and pencils he bought was RS. 108.find the number of each item.
Answer by atique.ah(27) About Me  (Show Source):
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1. A person bought some pens and pencils for Rs. 564. If each pen cost Rs.7 and each pencil Rs.3 and the total number of pens and pencils he bought was RS. 108.find the number of each item.
You may edit the question. Maybe convert formulae to the same formula notation
Let # pens = x
#pencils = y
7x + 3y = 564 equation(1)
x + y = 108 equation(2)
frome1(2)
x = 108 - y substituting this in equation(1)
7(108 -Y) + 3Y = 564
756 - 7Y + 3Y = 564
756 - 4Y = 564
-4Y = 564 -756
- 4Y = - 192
Y = 192/4
Y = 48
ANSWER: NUMBER OF PENCILS= 48
NUMBERS OF PEN= 60