Question 1198993: Marge, the office manager, has a budget of $28,000 to furnish the conference room of a hotel with 24 seating arrangements, each consisting of a table with four chairs. The chairs being considered for purchase cost twenty dollars less than one-half the cost of the table. How much money will remain in the budget after the purchase of the tables and chairs?
Ok so I'm thinking this is a inequality problem. I know that the basic set up is the number of chairs.(cost) + the number the tables.(cost) must be less than or equal to $28,000. There is 24 seating arrangements and within that there is 4 chairs and 1 table per arrangement.
Know facts
*I need to subtract the total cost of the furniture from $28,000 to get the
remaining amount in of the budget,
*4(24)=96 total chairs
*1(24)=24 total tables
*120 total pieces of furniture needed
*Let x=cost of chairs
*Let 2x+20 =cost of tables
96(x)+24(2x+20)< or = to 28,000
96x+48x+480< or = to 28,000
144x=28,000-480 ( replaced less than or equal to with just the =(sign))
144x=27520
144x/144 = 2750/144
x=191.1111
When I plug x back into everything I get it cost $18,346.66 for the chairs + $9,653.3333 for the tables which = $ 27,999.444
Just not sure were I'm going wrong here !
Thanks in advanced you rock who ever you are
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website! .
Marge, the office manager, has a budget of $28,000 to furnish the conference room of a hotel with 24 seating arrangements,
each consisting of a table with four chairs. The chairs being considered for purchase cost twenty dollars less
than one-half the cost of the table. How much money will remain in the budget after the purchase of the tables and chairs?
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As the problem is worded, printed, posted and presented, it CAN NOT be solved
and the question can not be answered.
The reason for it is that the presented info is not sufficient.
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