The total cost of 3 tablets and 2 chairs is 1850 if a table cost 75 more than a chair find the price of each
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Thecostof1tableisx
∴costof3tablesare3x
put,
Thecostof1chairisy
∴costof2chairsare2y
accordingtothequestion
totalcostof3tablesand2chairsare1850
∴3x+2y=1850→(i)
x=75+y→(ii)
sinceinquestionitisgiven
thatcostoftableis75morethanchairs
(i)and(ii)
3x+2y=1850→(i)
x−y=75→(ii)
multiplyingequation(2)by(2)
weget
2x−2y=150→(iii)
add(i)and(iii)
weget
5x=2000
∴x=4000thereforecostofonetableisRs.400
Substitutingthevalueofxin(ii)weget
400−y=75
∴y=400−75=325
cost1chairisRs.325.
∴costof3tablesare3x
put,
Thecostof1chairisy
∴costof2chairsare2y
accordingtothequestion
totalcostof3tablesand2chairsare1850
∴3x+2y=1850→(i)
x=75+y→(ii)
sinceinquestionitisgiven
thatcostoftableis75morethanchairs
(i)and(ii)
3x+2y=1850→(i)
x−y=75→(ii)
multiplyingequation(2)by(2)
weget
2x−2y=150→(iii)
add(i)and(iii)
weget
5x=2000
∴x=4000thereforecostofonetableisRs.400
Substitutingthevalueofxin(ii)weget
400−y=75
∴y=400−75=325
cost1chairisRs.325.
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