SOLUTION: can you please help me? a box of pencils cost $3 and a box of erasers cost $1.50 cents each. stuart spent $30.00 on pencils and erasers. if he bought two more boxes of erasers t

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: can you please help me? a box of pencils cost $3 and a box of erasers cost $1.50 cents each. stuart spent $30.00 on pencils and erasers. if he bought two more boxes of erasers t      Log On

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Question 503947: can you please help me?
a box of pencils cost $3 and a box of erasers cost $1.50 cents each. stuart spent $30.00 on pencils and erasers. if he bought two more boxes of erasers than pencils, how many boxes of pencils did he purchase?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let p = boxes of pencils he bought
Let e = boxes of erasers he bought
given:
(1) +3p+%2B+1.5e+=+30+
(1) +30p+%2B+15e+=+300+
and
(2) +e+=+p+%2B+2+
--------------
Substitute (2) into (1)
(1) +30p+%2B+15%2A%28+p+%2B+2+%29+=+300+
(1) +30p+%2B+15p+%2B+30+=+300+
(1) +45p+=+270+
(1) +p+=+6+
He bought 6 boxes of pencils
check:
(1) +3p+%2B+1.5e+=+30+
(1) +3%2A6+%2B+1.5e+=+30+
(1) +1.5e+=+30+-+18+
(1) +1.5e+=+12+
(1) +e+=+8+
and
(2) +e+=+p+%2B+2+
(2) +8++=+6+%2B+2+
OK