SOLUTION: a pencil and a rubber cost #54 together.Four pencils cost the same as five rubbers. Find the cost of each

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Question 1160179: a pencil and a rubber cost #54 together.Four pencils cost the same as five rubbers. Find the cost of each
Answer by mananth(16946) About Me  (Show Source):
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a pencil and a rubber cost Rs 54 together.Four pencils cost the same as five rubbers. Find the cost of each
let cost of pencil be x
and rubber be y
x+y=54
Four pencils cost the same as five rubbers.
4x=5y
x=5y/4
substitute x in First equation
x+y=54
5y/4 +y=54
multiply all the terms by 4
5y+4y=216
9y=216
y=24
You find out x
from equation x+y=54