A box contains a mixture of chocolate and vanilla in the ratio 7 : 5. When 9 liters of mixture are drawn off and the box is filled with vanilla, the ratio of chocolate and vanilla becomes 7: 9. How many liters of liquid chocolate were contained by the box initially?
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HEY MATE,
Let us consider that the can Contains 7x and 5x of mixtures A and B Respectively
Amount of A remained in mixture = 7x - 7/12 x 9 = (7x - 21 /4 )L
Amount of B remained in mixture = 5x - 5/12 x 9 = (5x - 15 /4 )L
After can is filled with B ....
(5x - 15/4)L + 9 L
later required ratio
(7x - 21/4) / (5x - 15 / 4) + 9
i.e. 7/9 = (7x - 21 /4) / (5x - 15/4) + 9
252 x - 189 = 140x + 147
112x = 336
x = 3
Now quantity of A = 7x = 7 x 3 = 21 L
I HOPE THIS HELPS YOU
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MARK ME AS BRAINLIEST ❤️❇️✔️
Let us consider that the can Contains 7x and 5x of mixtures A and B Respectively
Amount of A remained in mixture = 7x - 7/12 x 9 = (7x - 21 /4 )L
Amount of B remained in mixture = 5x - 5/12 x 9 = (5x - 15 /4 )L
After can is filled with B ....
(5x - 15/4)L + 9 L
later required ratio
(7x - 21/4) / (5x - 15 / 4) + 9
i.e. 7/9 = (7x - 21 /4) / (5x - 15/4) + 9
252 x - 189 = 140x + 147
112x = 336
x = 3
Now quantity of A = 7x = 7 x 3 = 21 L
I HOPE THIS HELPS YOU
.
.
.
.
.
MARK ME AS BRAINLIEST ❤️❇️✔️
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