Respuesta :
Answer:
15 liters of water
Explanation:
We are given that:
9 liters of water are required to water 24 flower pots
We are asked to find the number of liters required to water 40 flower pots using proportionality.
Solution #1:
The ratio we will use is:
[tex]\frac{number-of-liters}{number-of-pots}[/tex]
Since the same amount of water is required for each pot, we can set the ratio as follows:
[tex]\frac{number-of-liters-for-40-pots}{40}[/tex] = [tex]\frac{number-of-liters-for-24-pots}{24}[/tex]
Now, we substitute and solve for the unknown as follows:
[tex]\frac{9}{24}[/tex] = [tex]\frac{number-of-liters-for-40-pots}{40}[/tex]
Number of liters required to water 40 pots = [tex]\frac{40*9}{24}=15[/tex] liters
Solution #2:
We can rewrite the proportion above as follows:
[tex]\frac{number-of-liters-for-40-pots}{number-of-liters-for-24-pots}[/tex] = [tex]\frac{40}{24}[/tex]
Now, we substitute as follows:
[tex]\frac{number-of-liters-for-40-pots}{9}[/tex] = [tex]\frac{40}{24}[/tex]
Number of liters required to water 40 pots = [tex]\frac{40*9}{24}=15[/tex] liters
Solution #3:
Since we know that the number of liters for each pot is the same for all pots, we can construct the following equation:
y = mx where:
y is the total number of water liters
m is the numbers of liters for each pot
x is the total number of pots
We are given that:
9 liters are required for 24 pots. Substitute in the above equation to get m as follows:
9 = 24m ..............> [tex]m = \frac{9}{24} = \frac{3}{8}[/tex]
Therefore, the equation is:
[tex]y = \frac{3}{8} x[/tex]
For number of pots (x) = 40, the total number of liters (y) would be:
[tex]y = \frac{3}{8}*40 =15[/tex] liters
Hope this helps :)
