Help with math word problem
Favorites|Homepage
Subscriptions | sitemap
HOME > Mathematics > Help with math word problem

Help with math word problem

[From: ] [author: ] [Date: 11-07-01] [Hit: ]
6p + 4n = 16.-5n = -7.n = 7.n = 1.2p + (3*1.2p = 8 - 4.......
Three pens and two notebooks cost $8.25.
Two pens and three notebooks cost $8.00.
How much would two pens and two notebooks cost?
Any help, thanks!

-
p = cost of pen
n = cost of notebook

3p + 2n = 8.25
2p + 3n = 8

multiply top equation by 2, bottom equation by 3:

6p + 4n = 16.5
6p + 9n = 24

now subtract downward:

-5n = -7.5
n = 7.5/5
n = 1.5

and plug in to solve for p:
2p + 3n = 8
2p + (3*1.5) = 8
2p = 8 - 4.5
2p = 3.5
p = 1.75

finally, check your work to be safe :).

-
3*p + 2*n = 8.25
2*p + 3*n = 8

3*p + 2*n = 8.25, multiply by - 2,
2*p + 3*n = 8, multiply by 3
-------------------------

- 6*p - 4*n = - 16.5
..6*p +9*n = ...24
----------------------------
5*n = 7.5

n = $1.5

3*p + 2*n = 8.25, multiply by - 3
2*p + 3*n = 8, multiply by 2

- 9*p - 6*n = - 24.75
...4*p +6*n = 16
---------------------------
- 5*p = - 8.75

p = $1.75

How much would two pens and two notebooks cost?

2*1.75 + 2*1.5 = $6.50
1
keywords: problem,Help,with,math,word,Help with math word problem
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .