Question

A carpenter makes legs for 3-legged stools and 4-legged tables. He makes a total of 57 legs.

He could have made legs for how many 3-legged stools?

Answer 1

19 legs for 3-legged stools

Answer 2

4 legged tables : x 3 legged stools : y x + y = 20 y= 20 - x 4x + 3y = 68 Replace y by 20 - x so we only have one letter 4x + 3(20 - x) =68 4x + 60 - 3x =68 x + 60 = 68 x = 8 To find y replace x by 8 y = 20 - 8 y = 12 So you have 8 four legged chairs and 12 three legged stools. Hope I helped!