Question

the total cost of 3 tables and 2 chairs is rs. 1850. If a table costs rs. 75 more than a chair, find the price of each
​

Answer 1

Step-by-step explanation:

let table =x and chair= y

then according to the statement,

3x +2y= 1850

x-y= 75

for equating the coefficients of x, multiply the equation number 2 by 3, we get

3x -3y= 225

subtract equation 1 and 3,we get

$3x + 2y = 1850 \\ - 3x + 3y = 225 \\ 0 + 5y = 1625 \\ y = 1625 \div 5 \\ y = 325$

so the chair costs 325

now to find cost of table, put this value in equation 2

$x - 325 = 75 \\ x = 75 + 325 \\ x = 400$

so the table costs 400