Homework Help: Ratio

Posted by Mary on Friday, November 28, 2008 at 5:41am.

The Ratio of the hieght of plant X to plant Y is 5:3. If plant Y were 140 c.m. taller instead, the ratio of the hieght of plant X to plant Y would be 1:2. How tall is plant X

Ratio - Jake1214, Friday, November 28, 2008 at 8:44am
Translate these info into equations:

y=3/5x
x=5/3y
y+140=2x

Now you can use substitution method to solve for x easily.
Ratio - Reiny, Friday, November 28, 2008 at 10:55am
alternate solution:
let the height of pant X be 5x
let the height of plant Y be 3x
5x/(3x+140) = 1/2
10x = 3x+140
x= 20
then X = 5x = 100
Y = 3x = 60

check : if 140 is added to 60, Y = 200
then X:Y = 1:2

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