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astra-53 [7]
3 years ago
10

The gas tank is 20% full. the volume is 288.75. at $3.00 per gallon of gas, find the cost to fill the tank. (1 gal = 231 in.33)

Mathematics
2 answers:
alexdok [17]3 years ago
8 0
Use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8
----------  =    ------
288.75            x
                                                               231 gal
So, 0.2x = (0.8)(288.75 gal), and x = ----------------- = 1155 gal.
                                                                 0.2

It would take 1155 gal. to fill the tank.

The cost would be

1155 gal        $3
------------ * ---------- = $3465  (answer)
       1           1 gal
Ede4ka [16]3 years ago
8 0

Answer:

The cost to fill the tank is $ 0.75.

Step-by-step explanation:

Given,

The volume of the gas tank = 288.75 in³,

Since, 20 % of tank is full by the gas,

⇒ The total gas in the tank = 20 % of the volume of the tank

= 20 % of 288.75

= 0.2 × 288.75

= 57.75 in³

= 0.25 gallon ( 1 gal = 231 in³ ⇒ 1 in³ = 1/231 gallon ),

According to the question,

The cost of 1 gallon of gas = $ 3.00

⇒ The cost of 0.25 gallon of gas = 0.25 × 3.00 = $ 0.75

Hence, the cost to fill the tank is $ 0.75.

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