The Drizzle Pvt. Ltd., a squash company has 2 cans of juice. The first contains 25% water and the rest is fruit pulp. The second contains 50% water and rest is fruit pulp. How much juice should be mixed from each of the containers so as to get 12 litres of juice such that the ratio of water to fruit pulp is 3 : 5?
Explanation:
Quantity of water in 12 litres of juice = (3/8) × 12 = 4.5 litres
Quantity of fruit pulp in 12 litres = 12 − 4.5 = 7.5 litres
Let x litres of the first can and y litres of the second can be used.
∴ Quantity of water used in mixture = (0.25x + 0.5y) and quantity of pulp used = (0.75x + 0.5y) Comparing the expressions for quantity of water and pulp in the mixtures:
0.25x + 0.5y = 4.5 ... (i)
0.75x + 0.5y = 7.5 ... (ii)
On solving, x = 6 and y = 6
Hence, option (a).
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