# Ratio

posted by .

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 -

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 -

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

## Similar Questions

1. ### ENEGRY COSTS

I need to know how much it would cost to build the following plants (as in factories): Solar energy plant Biomass plant Geothermal energy plant Wind energy plant nuclear Energy plant
2. ### Biology

describe the following processes in the plant life cycle and why they are important for the plant to complete, listing all of the plant hormones involved and describing their functions: 1) elongation of the plant shoot. 2) the process …
3. ### Physics

A plant falls from the windowsill of an apartment in a very tall building. If the floor of your apartment is 12.19 m above the ground, and it takes the plant 0.2580 seconds to cross your 9 ft window, from what height did the plant …
4. ### math

help! 2005 2006 2007 2008 Plant 1 20 4 25 10 Plant 2 25 5 5 48 Plant 3 20 8 20 32 Plant 4 43 10 10 47 Plant 5 40 11 15 48 A gardener recorded how many tomatoes 5 plants produced each year. Which year had the LARGEST interquartile range …
5. ### math

You plant an 8-inch-tall tomato plant that grows 5 inches taller each week. On the same day, you plant a 14-inch-tall tomato plant that grows 3.5 inches taller each week. Graph a system of equations that represents the heights y (in …
6. ### science help

A student did an experiment with two identical plants, Plant 1 and Plant 2. About 10 mL fertilizer was added to Plant 1. About 200 mL of water was added to each plant every day. The height of the plants was recorded over a period of …
7. ### Algebra

Lynn is tracking the progress of her plantâ€™s growth. Today the plant is 5cm high. The plant grows 1.5 cm each day. Find the height of the plant after 20 days.
8. ### Math

The heights of three plants A,B and C in a garden are in the ratio 2 : 3 :5. their mean height is 30cm a) find the height of plant b b) if another plant D is added to the garden and the mean height of the four plant is now 33cm , find …
9. ### bio

a heterozygous tall pea plant is crossed with a short pea plant.what are the expected genotypic and phenotypic ratio for this cross
10. ### biology

Workout a cross between a homozygous tall pea plant with axial flower (TTAA) and a homozygous dwarf pea plant with terminal flower (ttaa) Note:(a)considering the table that provides and summarize the contrasting character of pea plant,(1)state …

More Similar Questions