SOLUTION: At a store three notebooks and two pencils cost $2.80 at the same prices two notebooks and five pencils cost $2.60 find the cost of one notebook and one pencil

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Question 1047249: At a store three notebooks and two pencils cost $2.80 at the same prices two notebooks and five pencils cost $2.60 find the cost of one notebook and one pencil
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Two EQs, two unknowns: n(notebooks) and p(pencils)
3n + 2p = 2.80
2n + 5p = 2.60 Multiply by -2/5 to eliminate p
(15/5)n + 2p = 2.80
-(4/5)n - 2p = -1.04
(11/5)n = 1.76
n = $0.80, cost of notebook 80cents
p = $0.20 %282.60+-1.60%29%2F5, cost of pencil 20cents
AND
2.40 + 40 = 2.80 CHECKS!
3n + 2p = 2.80