Respuesta :
Answer:
Gallons of water is used for lettuce is [tex]\frac{7}{8}[/tex]
Step-by-step explanation:
Given that Hayden had [tex]2\frac{1}{2}[/tex] gallons of water in his watering can.
The seed packet said to use [tex]\frac{1}{4}[/tex] of a gallon of water for peppers and [tex]\frac{5}{8}[/tex] of a gallon of water for tomatoes.
After that Hayden used some of the gallons of water for lettuce
To find If Hayden had [tex]\frac{3}{4}[/tex] gallons of water left over, about how much water did he use for lettuce :
The amount used for pepper and tomatoes is given by
[tex]=\frac{1}{4}+\frac{5}{8}[/tex]
[tex]=\frac{1(2)+5}{8}[/tex]
[tex]=\frac{7}{8}[/tex]
∴ [tex]The amount of water gallons used for pepper and tomatoes=\frac{7}{8}[/tex]
Now [tex]Total amount of water used=2\frac{1}{2}-\frac{3}{4}[/tex]
[tex]=\frac{5}{2}-\frac{3}{4}[/tex]
[tex]=\frac{5(2)-3}{4}[/tex]
[tex]=\frac{10-3}{4}[/tex]
[tex]=\frac{7}{4}[/tex]
∴ [tex]Total amount of water gallons used=\frac{7}{4}[/tex]
Hence how much water did he used for lettuce is given by
Gallon of water is used for lettuce is the difference between Total amount of water used and the Amount of water used for pepper and tomatoes.
[tex]=\frac{7}{4}-\frac{7}{8}[/tex]
[tex]=\frac{7(2)-7}{8}[/tex]
[tex]=\frac{14-7}{8}[/tex]
[tex]=\frac{7}{8}[/tex]
Hence [tex]Gallon of water is used for lettuce=\frac{7}{8}[/tex]
