# Math

A gasoline tank is 1/6 full. When 21 liters of gasoline were added, it became 3/4 full. How many more liters more is needed to fill it?

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1. Let the capacity of the tank be x litres
(1/6)x + 21 = (3/4)x
solve for x to find the capacity of the tank.

I am sure you can take it from there, e.g.
1/6 of the tank is ...
then 21 litres were added, how many more are
needed to fill it ?

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posted by Reiny
2. V = Volume of tank

A gasoline tank is 1/6 full. When 21 liters of gasoline were added, it became 3/4 full mean:

( 1 / 6 ) V + 21 = ( 3 / 4 ) V

( 1 / 6 ) V + 21 = ( 3 / 4 ) V

Subtract ( 1 / 6 ) V to both sides

21 = ( 3 / 4 ) V - ( 1 / 6 ) V

___________
Remark:

3 / 4 = 9 / 12

1 / 6 = 2 / 12
__________

21 = ( 9 / 12 ) V - ( 2 / 12 ) V

21 = ( 7 / 12 ) V

Multipy both sides by 12

21 * 12 = 7 V

252 = 7 V

Divide both sides by 7

252 / 7 = V

36 = V

V = 36 liters

36 liters - 21 liters = 15 liters

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posted by Bosnian
3. The question was , "How many more litres are needed to fill it?

the tank holds 36 litres, we both have that
it already holds (1/6)(36) or 6 L
21 more are added, so now we have 27 L, which is 3/4 of the tank,
so 9 more litres are needed to fill it.

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posted by Reiny

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