gregs gas tank is 1/3 full. after he buys 11 gallons of gas, it is 5/6 full. how many gallons can gregs tank hold

Explanation:

x = max number of gallons the tank can hold

Greg's car starts off 1/3 full, so (1/3)x = x/3 number gallons is in the car.

Add on 11 more gallons to get (x/3) + 11 = x/3+33/3 = (x+33)/3

The expression (x+33)/3 represents the number of gallons he has after buying 11 gallons of gas. This is equal to (5/6)x since this represents the idea of the tank being 5/6 full

The equation we need to solve is (x+33)/3 = (5/6)x

Let's do so to get...

(x+33)/3 = (5/6)x

(x+33)/3 = (5x)/6

6(x+33) = 3*5x

6x+198 = 15x

198 = 15x-6x

198 = 9x

9x = 198

x = 198/9

x = 22

His tank can hold up to 22 gallons.

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step-by-step explanation:

b. b < 1 might be the correct answer