SOLUTION: I need to write an equation using this scenerio; 56 houses are for sale with two floor plans with x representing plan 1 and y representing plan 2 would this be correct 1x+2y=56 ? p

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Question 310472: I need to write an equation using this scenerio; 56 houses are for sale with two floor plans with x representing plan 1 and y representing plan 2 would this be correct 1x+2y=56 ? part two of the scenerio states that threre are three times as many homes with plan two than for plan 1 write an equation using the same variables as in part 1 of the scenerio. How would I write the equation for part 2 of this scenerio?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = number of homes with plan 1
Let y = number of homes with plan 2
Given:
x+%2B+y+=+56
There are three times as many homes with plan 2 as with plan 1
This says y%2Fx+=+3%2F1
y+=+3x
By substitution:
x+%2B+3x+=+56
4x+=+56
x+=+14
and, since y+=+3x
y+=+3%2A14
y+=+42
There are 14 homes using plan 1
There are 42 homes using plan 2