SOLUTION: A student paid $ 5.40 for 30 pencils. Some cost 10 cents each and others cost 20 cents.each. How many pencils of the 10 cents type did he buy?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A student paid $ 5.40 for 30 pencils. Some cost 10 cents each and others cost 20 cents.each. How many pencils of the 10 cents type did he buy?      Log On


   

Question 705665: A student paid $ 5.40 for 30 pencils. Some cost 10 cents each and others cost 20 cents.each. How many pencils of the 10 cents type did he buy?
Answer by lwsshak3(11628) About Me  (Show Source):
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A student paid $ 5.40 for 30 pencils. Some cost 10 cents each and others cost 20 cents.each. How many pencils of the 10 cents type did he buy?
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let x=number of 10-cent pencils bought
30-x=number of 20-cent pencils bought
..
.10x+.20(30-x)=5.40
.10x+6-.20x=5.40
.10x=.60
x=6
30-x=24
number of 10-cent pencils bought=6
number of 20-cent pencils bought=24