SOLUTION: Maria paid $8.25 for three pens and two notebooks. Mark paid $8.00 for two pens and three notebooks. Find the cost for each.

Question 531867: Maria paid $8.25 for three pens and two notebooks. Mark paid $8.00 for two pens and three notebooks. Find the cost for each.
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
3p + 2n = 825
2p + 3n = 800
.
Multiply the first equation by 2 and the second by 3, then subtract to eliminate the 'n' term.
.
9p + 6n = 2475
4p + 6n = 1600
--------------- subtract
5p = 875
.
p = 875/5 = 175, each pen is $1.75
.
Substitute 'p' to find 'n'.
.
2(175) + 3n = 800
350 + 3n = 800
3n = 450
n = 150, each notebook is $1.50
.
Check the answer by substituting these values in the other equation.
3p + 2n = 825
3(175) + 2(150) = 825
525 + 300 = 825
Correct.
.
Answer: Pens cost $1.75, and notebooks cost $1.50.
.
Done.
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