Math, asked by karisma32kapoor23, 6 months ago

A petrol tank is filled with 4, 1/4 litres of petrol. If 1/8 of the petrol leaks out, then how many litres of petrol would be left? with statement please​

Answers

Answered by Skyllen
19

Given:- A petrol tank is filled with 4 1/2 litres of petrol and 1/8 of it leaks out.

To find:- how many litres of petrol would be left after leakage.

Solution :-

 \sf  \to \: 4  \dfrac{1}{4}  =  \dfrac{17}{4}

Let the remaining petrol be x litres.

Now, according to question,

Statement will be,

Remaining petrol = Total amount petrol in tank - amount of leaked petrol

  \sf \implies \: x = \dfrac{17}{4}  -  \dfrac{1}{8}  \\ \\  \sf  \implies x = \frac{17 \times 8 - 4 \times 1}{32}   \\   \\ \sf \implies \: x =  \dfrac{136 - 4}{32}  \\  \\  \sf \:  \implies \: x =  \frac{132}{32}  \\  \\  \implies  \boxed{\boxed{ \purple{ \bf{x = 4.1 \: litres}}}}

∴ 4.1 litres of petrol would be left in the tank.

Answered by Anonymous
16

Step-by-step explanation:

Given that, a petrol tank is filled with 4. 1/4 litres of petrol. If 1/8 of the petrol leaks out.

We have to find that how many litres of petrol would be left.

Say that the x litre of petrol left in the tank.

Total petrol = 4 1/4 = 17/4

Leaked petrol = 1/8

Total petrol = Leaked petrol + Left petrol

Substitute the values,

→ 17/4 = 1/8 + x

→ 17/4 - 1/8 = x

→ (34 - 1)/8 = x

→ 33/8 = x

Hence, the 33/8 litres of petrol left in the tank.

Verification

From above calculations we have x is 33/8

Substitute value of x in 17/4 = 1/8 + x

→ 17/4 = 1/8 + 33/8

→ 17/4 = 34/8

→ 17/4 = 17/4

L.H.S. = R.H.S.

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