Two tanks contain petrol and diesel .in the first tank the ratio of petrol to diesel is 7:4 and in the second tank the ratio is 4:5.A third tank of capacity 38L is filled with these two tanks so that the mixture contains the ratio of petrol to diesel is 5:4 . How many litres are taken from the second tank?
Answers
Answer:
from tank 2,, 16 liter of petrol and diesel mixture will be taken.
Step-by-step explanation:
16 Litres were taken from 2nd Tank
Step-by-step explanation:
Let say X litre taken from 2nd Tank
Then Taken from 1st Tank = 38 - X Litre
in Third Tank Total = 38 L
Ratio of Petrol to Diesel = 5 : 4
Petrol = 5 * 38 / 9 = 190/9 Litre
Diesel = 4 * 38/9 = 152/9 Litre
first tank the ratio of petrol to diesel is 7:4
=> Petrol = 7 * (38-X)/11
Diesel = 4 * (38-X)/11
second tank the ratio is 4:5
=> Petrol = 4X/9
Diesel = 5X/9
7 * (38-X)/11 + 4X/9 = 190/9
=> 63(38 - X) + 44X = 190 * 11
=> 19X = 63*38 - 190*11
=> 19X = 2394 - 2090
=> 19X = 304
=> X = 16
16 Litres were taken from 2nd Tank
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