Question

6 stools and 4chairs cost$58 but 5 stools and 2 chairs cost$ 35 find the cost of each stool and each chair

Answer 1

stool = s, chair = c
6s+4c=58 ---(1)
5s+2c=35 ---(2)

(2)*2; 10s+4c=70 ---(3)
(3)-(1); 4s=12
so s=3
from (2)
5s+2c= 35
5(3)+2c=35
2c = 35-15
2c = 20
so c=10

then the cost of each stool is $3 and the cost of each chair is $10