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

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) (Show Source): You can put this solution on YOUR website!
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.
..
For easier caculation lets solve in cents
let pencil cost x cents
pen cost y cents
4x+2y=74.....................1
....
6x+5y=153 ...................2
..
multiply 1 by -6 & 2 by 4
-24x-12y=-444
24x+20y=612
add them
8y=168
/8
y= 21 cents, cost of pen
..
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
...
m.ananth@hotmail.ca
RELATED QUESTIONS
four pencils and five pens cost $2.00. three pencils and four pens cost $1.58. find the (answered by jojo14344)

four pencils and five pens cost $2.00. Three pencils and four pens cost$1.58. Find the... (answered by stanbon)

Four pencils and five pens cost $2.00.three pencils and four pens cost $1.58.find the... (answered by jorel1380)

four pencils and 2 pens cost $2.26. six pencils and five pens cost $5.17. find the cost... (answered by checkley71)

Six pens and on pencil cost $9 four pens and two pencils cost $8 find the price of... (answered by Cromlix)

The cost of a pen is 30 cents more than the cost of a pencil. Jackson spent $4.30 when he (answered by ikleyn,josmiceli)

5 pencils and 7 pens together cost rs.195. While 7 pencils and 5 pens together cost... (answered by Cromlix)

4 pencils and 2 pens cost $1.08 6 pencils and 5 pens cost $2.22 find the cost of each... (answered by tran3209,kevwill)

Pauline ordered 250 pens and 250 pencils to sell for a theatre club fundraiser. The pens... (answered by fractalier,josmiceli)