a gardener uses 1/3 of a liter of water to water 2/7 of a garden. watering the entire garden at this rate will require or how many liters of water
1 1/6 liter of water is needed to watering the entire garden at the given rate.
To find out how many liters of water are needed to water the entire garden, we can set up a proportion using the given information.
Let's assume the total amount of water needed to water the entire garden is represented by "x" liters.
According to the information, the gardener uses 1/3 of a liter of water to water 2/7 of the garden. Therefore, the ratio of water used to the portion of the garden watered is 1/3 : 2/7.
We can set up the proportion as follows:
(1/3) / (2/7) = x / 1
To solve for x, we cross-multiply:
1 * 2/7 = x * 1/3
2/7 = x/3
To isolate x, we can multiply both sides by 3:
3 * (2/7) = x
6/7 = x
Therefore, to water the entire garden at this rate, it will require 6/7 liters of water.
To find out how many liters of water are needed to water the entire garden at the same rate, we need to set up a proportion using the given information.
The gardener uses 1/3 of a liter of water to water 2/7 of the garden. Let's call the total amount of water needed to water the entire garden "x" liters.
The ratio between the amount of water used and the portion of the garden watered remains constant. Therefore, we can set up the following proportion:
(1/3) / (2/7) = x / 1
To simplify this proportion, we need to multiply the numerator of the second fraction by the denominator of the first fraction, and the numerator of the first fraction by the denominator of the second fraction:
(1/3) * (7/2) = x / 1
Multiplying the fractions:
7/6 = x / 1
To solve for x, we can cross-multiply:
7 * 1 = 6 * x
7 = 6x
Divide both sides by 6:
7/6 = x
Therefore, it would require 7/6 liters of water to water the entire garden at the same rate.
(1/3/{2/7) = L/(5/7)
1/3 * 7/2 = L/(5/7)
7/6 = L/(5/7)
L = 5/7 * 7/6 = 35/42 = 5/6.