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?

A.
8

B.
9

C.
10

D.
11

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?
  
 
 

 
 

  

  A. 
  8   
   

 
 

  

  B. 
  9   
   

 
 

  

  C. 
  10   
   

 
 

  

  D. 
  11

cwrw238 · Answer

let there be  x  stools with 4 legs and y stools with 4 legs, then:

4x + 3y = 57

you now have to fit positive whole numbers  to this equation

cwrw238 · Answer

lets try 8 3 legged stools

4x + 3*8 = 57
4x = 57 - 24 = 33

this cant be  correct as 33 is not a multiple of 4

do same with the other options

cwrw238 · Answer

do you follow what i've written?

anonymous · Answer

yes thank you

cwrw238 · Answer

try  y = 11   ( 11 3-legged stools)