The container that holds the water for the football team is 1/6 full. After pouring in 7 gallons of water, it is 2/3 full. How many gallons can the container hold?

Respuesta :

(2/3-1/6)w=7
(1/2)w=7
W=14
14 gallons is the answer

Answer:

[tex]14 gallons[/tex]

Step-by-step explanation:

Let us suppose that container can hold [tex]x gallon[/tex] water

Initial quantity of water in container = [tex]\frac{1}{6} x[/tex]

Quantity added to the container = [tex]7 gallons[/tex]

Final quantity = [tex]\frac{2}{3} x[/tex]

∴[tex]\frac{2}{3} x - \frac{1}{6} x = 7\\(\frac{2}{3} - \frac{1}{6})x = 7\\\frac{1}{2}x = 7\\x = 7*2\\x = 14[/tex]

Hence the container can hold [tex]14 gallons[/tex] of water

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