Question

A gardener uses 3/7 of a liter of water to water 6/7 of a garden. Watering the entire garden at this rate will require

a) 5/6 liters
b) 6/7 liters
c) 1 1/6 liters
d) 14/7 liters

Answer 1

To water the entire garden at the given rate, the gardener will need 1/2 liter of water.

Step-by-step explanation:

To find how much water is needed to water the entire garden at the given rate, we need to find the total volume of water required. We are given that the gardener uses 3/7 of a liter of water to water 6/7 of the garden. We can set up a proportion to find the total volume of water needed:

3/7 L / 6/7 = x L / 1

Cross multiply to solve for x:

3/7 * 1 = 6/7 * x

3/7 = 6/7 * x

Divide both sides by 6/7 to isolate x:

x = (3/7)/(6/7)

Simplify the fraction:

x = 3/6

Reduce the fraction to lowest terms:

x = 1/2

Therefore, watering the entire garden at this rate will require 1/2 liter of water.