SOLUTION: A salesman knows he has 36 tables in his store room, some of which have 3 legs and other 4 legs. He discovers by counting that there are 124 legs. How many tables with 4 legs does

Algebra.Com
Question 186564: A salesman knows he has 36 tables in his store room, some of which have 3 legs and other 4 legs. He discovers by counting that there are 124 legs. How many tables with 4 legs does he have?

(3x / 36)+(4x / 36) = 124
12x + 9x = 124
Found 2 solutions by vleith, solver91311:
Answer by vleith(2983)   (Show Source): You can put this solution on YOUR website!
let t be three legged tables and f be four legged ones


Use elimination
multiply by 3

subtract
--------------------
-f = -16
f = 16
so t = 36-16 = 20
Does 3*20 + 4*16 = 124?
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Number of 3-legged tables: x

Number of 4-legged tables: y

Number of tables: x + y = 36 → x = 36 - y

Number of legs: 3x + 4y = 124

Substitute:



Solve for y to get the number of 4-legged tables.

John
RELATED QUESTIONS

A furniture dealer has 36 tables. Some tables have 4 legs and some have 3 legs, but she... (answered by ewatrrr,stanbon)
farmer adelita has only ducks and cows. he cant remeber how many of each he has but he... (answered by Edwin McCravy)
A carpenter only builds stools and tables. Each stool has three legs and each table has... (answered by ikleyn)
a man when asked how many hens and buffaloes he has, told that his animals have 120 eyes... (answered by rwm)
A boy had a box containing a total of 8 spiders and beetles. He counted 54 legs... (answered by Edwin McCravy)
John is building a pen in his backyard. the sides of the pen will form a right triangle... (answered by ikleyn)
Rohan has some books and some tables. If he puts 9 books into each table he will have 2... (answered by Boreal)
if i have 8 creatures and some have 4 legs and others have 6 legs and all the legs add up (answered by Edwin McCravy)
Daniel has 63 coins which are quarters and dimes in his coin jar. He knows that he has... (answered by ramkikk66)