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Bunuel
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Tom has exactly half a tank of gas in his car, which receives 25 miles 24 Nov 2016, 03:07
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D
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55% (hard)

Question Stats:

65% (01:59) correct 35% (02:24) wrong based on 340 sessions

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Tom has exactly half a tank of gas in his car, which receives 25 miles per gallon. He drives 100 miles and pulls into a gas station to fill his tank. If Tom used exactly 80% of his remaining gas to drive the 100 miles, and if the price of gas is $3/gallon, how much will it cost for Tom to completely fill his tank? Assume no sales tax for the purchase of gas.

A. $3
B. $12
C. $18
D. $27
E. $30
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D
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warriorguy
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Tom has exactly half a tank of gas in his car, which receives 25 miles 24 Nov 2016, 03:31
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Let the capacity be x
Half of the capacity = (x/2)

1 Gallon = 25 miles; 4 Gallons = 100 miles

4 = 0.8 * (x/2)

x=10

1 Gallon = $3, For full capacity --> 10 Gallon = $30
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Tom has exactly half a tank of gas in his car, which receives 25 miles 24 Nov 2016, 03:42
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warriorguy
Let the capacity be x
Half of the capacity = (x/2)

1 Gallon = 25 miles; 4 Gallons = 100 miles

4 = 0.8 * (x/2)

x=10

1 Gallon = $3, For full capacity --> 10 Gallon = $30
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x/2 = 5 gallons. Out of 5 gallons, 4 gallons is used and 1 gallon is remaining in the tank.

To fill the tank completely, we need 10 - 1 = 9 gallons.

Cost = 3*9 = 27$

Answer: D
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Tom has exactly half a tank of gas in his car, which receives 25 miles 24 Nov 2016, 04:21
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Vyshak
warriorguy
Let the capacity be x
Half of the capacity = (x/2)

1 Gallon = 25 miles; 4 Gallons = 100 miles

4 = 0.8 * (x/2)

x=10

1 Gallon = $3, For full capacity --> 10 Gallon = $30

x/2 = 5 gallons. Out of 5 gallons, 4 gallons is used and 1 gallon is remaining in the tank.

To fill the tank completely, we need 10 - 1 = 9 gallons.



Cost = 3*9 = 27$

Answer: D
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Good find. Side effects of solving questions during office time.
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gracie
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Tom has exactly half a tank of gas in his car, which receives 25 miles 24 Nov 2016, 14:15
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Bunuel
Tom has exactly half a tank of gas in his car, which receives 25 miles per gallon. He drives 100 miles and pulls into a gas station to fill his tank. If Tom used exactly 80% of his remaining gas to drive the 100 miles, and if the price of gas is $3/gallon, how much will it cost for Tom to completely fill his tank? Assume no sales tax for the purchase of gas.

A. $3
B. $12
C. $18
D. $27
E. $30
Show more

let t=tank capacity
tom starts with 1/2 tank and uses 100/25=4 gallons to get to gas station
4=.8*t/2
t=10
he gets to the gas station with 5-4=1 gallon remaining
he needs 9 gallons to fill tank
9*$3=$27
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Tom has exactly half a tank of gas in his car, which receives 25 miles 26 May 2025, 10:30
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