SOLUTION: A baseball manager bought 4 bats and 9 balls for $33.75. On another day, he bought 3 bats and 1 dozen balls at the same prices and paid $34.50. How much did he pay for each bat and

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: A baseball manager bought 4 bats and 9 balls for $33.75. On another day, he bought 3 bats and 1 dozen balls at the same prices and paid $34.50. How much did he pay for each bat and      Log On

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Question 1010301: A baseball manager bought 4 bats and 9 balls for $33.75. On another day, he bought 3 bats and 1 dozen balls at the same prices and paid $34.50. How much did he pay for each bat and for each ball? answers
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = amount paid for 1 bat
Let +y+ = amount paid for 1 ball
------------------------------
(1) +4x+%2B+9y+=+3375+ ( in cents )
(2) +3x+%2B+12y+=+3450+ ( in cents )
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(2) +x+%2B+4y+=+1150+
Multiply both sides of (2) by +4+
and subtract (1) from (2)
(2) +4x+%2B+16y+=+4600+
(1) +-4x+-+9y+=+3375+
----------------------
+7y+=+1225+
+y+=+175+
and
(2) +x+%2B+4y+=+1150+
(2) +x+%2B+4%2A175+=+1150+
(2) +x+%2B+700+=+1150+
(2) +x+=+450+
---------------
1 bat costs $4.50
1 ball costs $1.75
----------------
check:
(1) +4x+%2B+9y+=+3375+
(1) +4%2A450+%2B+9%2A175+=+3375+
(1) +1800+%2B+1575+=+3375+
(1) +3375+=+3375+
OK
You can check (2)