cost of 3 tables and 2 chairs is 1850 if a table cost 75 more than a chair find the price of each
Answers
Answer:
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Answer:
The cost of 1 table is x
∴cost of 3 tables are 3x
put,
The cost of 1 chair is y
∴cost of 2chairs are 2y
according to thequestion
total costof 3 tables and 2chairs are 1850
∴3x+2y=1850→(i)
x=75+y→(ii)
since in question it is given
that cost oftable is 75morethan chairs
(i)and(ii)
3x+2y=1850→(i)
x−y=75→(ii)
multiplying equation(2)by(2)
2x−2y=150→(iii)
add(i)and(iii)
wevget
5x=2000
∴x=4000 therefore cost of one table isRs.400
Substituting thevalue ofxin(ii)we get
400−y=75
∴y=400−75=325
cost 1 chair is Rs.325.