SOLUTION: Four pencils and two pens cost $0.74. Six pencils and five Pena cost $1.53. Find the cost of a pencil and a pen

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Question 378705: Four pencils and two pens cost $0.74. Six pencils and five Pena cost $1.53. Find the cost of a pencil and a pen
Answer by mananth(16946) About Me  (Show Source):
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Four pencils and two pens cost $0.74. Six pencils and five Pena cost $1.53. Find the cost of a pencil and a pen.
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For easier caculation lets solve in cents
let pencil cost x cents
pen cost y cents
4x+2y=74.....................1
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6x+5y=153 ...................2
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multiply 1 by -6 & 2 by 4
-24x-12y=-444
24x+20y=612
add them
8y=168
/8
y= 21 cents, cost of pen
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plug value of y in 1
4x+2*21= 74
4x+42=74
4x= 74-42
4x=32
/4
x= 8 cents ,cost of pencil
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m.ananth@hotmail.ca