Alg3.1.15

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Robert purchased 5 chairs and 2 tables for $1625.Julie purchased 2 chairs and one table for $750.Find the cost per chair and table.

Assume that a chair costs $x\, and a table costs $y\,

Then, 5 chairs cost 5x\, and 2tables cost 2y\,.

Thus the amount spent by Robert will be 5x+2y=1625\,

Again, Julie's purchase of 2 chairs and 1 table, we have 2x+y=750\,

Solving the two equations,we get

(5x+2y-1625)-2(2x+y-750)=0,5x+2y-1625-4x-2y+1500=0,x=125\,

Hence 2(125)+y=750,y=500\,

Therefore,the cost of chair and table are $125 and $500.


Algebra

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