SOLUTION: This week a carpenter made some three-legged stools and some four-legged chairs. The total number of stools and chairs was 30, and the carpenter used 103 legs in all. How many cha

Question 575628: This week a carpenter made some three-legged stools and some four-legged chairs. The total number of stools and chairs was 30, and the carpenter used 103 legs in all. How many chairs did the carpenter make?
Found 2 solutions by josmiceli, stanbon:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of stools
Let = number of chairs
given:
(1)
(2)
----------------
Multiply both sides of (1) by ,
and subtract (1) from (2)
(2)
(1)

and
(1)
(1)
(1)
(1)
The carpenter made 17 stools and 13 chairs
check:
(2)
(2)
(2)
(2)
OK
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
This week a carpenter made some three-legged stools and some four-legged chairs. The total number of stools and chairs was 30, and the carpenter used 103 legs in all. How many chairs did the carpenter make?
--------
# of stools EQ: t + f = 30
# of legs EQ:: 3t +4f = 103
-------------------
Multiply thru stools EQ be 3 to get:
3t + 3f = 3*30
3t + 4f = 103
----
subtract and solve for "f":
f = 13 (# of four-legged stools)
---
Solve for "t":
t + f = 30
t + 13 = 30
t = 17 (# of 3-legged stools)
===============================
Cheers,
Stan H.
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