Question

the total cost of 3 tables and 2 chairs is rupees 1850 if a table cost rupees 75 more than a chair find the price of each ??​

Answer 1

Step-by-step explanation:

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.

Answer 2

Let chair cost x

Table cost x+75

3(x+75)+2x =1850

5x+225 =1850

5x=1850–225=1625

x=1625/5=Rs 325

Chair cost ,Rs325

Table costs Rs 400

hope my answer helps you ✌️✌️