SOLUTION: Please help. Don't know how to construct the equation for this problem: One can of paint is enough for 3 chairs OR 2 tables. Therefore, 7 cans of paint will be enough for 12 chair

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Please help. Don't know how to construct the equation for this problem: One can of paint is enough for 3 chairs OR 2 tables. Therefore, 7 cans of paint will be enough for 12 chair      Log On


   

Question 355236: Please help. Don't know how to construct the equation for this problem:
One can of paint is enough for 3 chairs OR 2 tables. Therefore, 7 cans of paint will be enough for 12 chairs AND how many tables?
a. 4
b. 5
c. 6
d. 7
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!
Let paint required for 1 chair is x, and for table y.

so, 1 can = 3x = 2y

or x = 2y/3 ...(1)

now, using 7 can is enough for 3*7 = 21 chairs = 12x+ 9x

here we have to convert 9x into terms of y using (1)

9x = 9 * (2y/3)
= 6y

so, answer is 6 tables.