Respuesta :

14 gallons

Step-by-step explanation:

Let us assign the number of gallons that Erick's tank can hold when full as x

Currently, his tank is 1/6th full hence is holding (1/6)x gallons of fuel

When 7 gallons of fuel is added to the tank, it becomes 2/3 full hence holding (2/3)x gallons of fuel

Therefore the 7 gallons represents; (2/3)x – (1/6)x

(2/3)x – (1/6)x = (3/6)x = ½ x = 7

If (1/2)x = 7; what is x

X = 7 * 2 = 14

= 14 gallons

Learn More:

For more on fractions check out;

https://brainly.com/question/877192

https://brainly.com/question/1868841

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