Question

Sachin bought 1.5 kg fresh grapes. The ratio of water is to pulp was 4 : 1. When his naughty child crushed these grapes, then some water get wasted. Now the ratio of water is to pulp is 3 : 2. What is the total amount of the crushed grapes?

Answer 1

Answer:  0.75 kg

Step-by-step explanation:

Since, the ratio of the water is to pulp was 4 : 1,

Let the initial water in the grapes = 4 x and the initial pulp in the grapes = 1 x

And, after crushing the ratio between the water and pulp = 3 : 2

Let the final amount of water = 3 y and final amount of pulp = 2 y

⇒ Final amount of grapes = 3 y + 2 y = 5 y

Since, in the crushing the weight of the pulp will not be affected,

⇒ 1 x = 2 y

⇒ x = 2 y

Hence, the initial amount of water in the grapes = 4 x = 4×2y = 8y

Also, the initial amount of the pulp = 1 x = 2 y

According to the question,

The total weight of the grapes initially = 1.5 kg

⇒ 8 y + 2 y = 1.5 kg

⇒ 10 y = 1.5

⇒ y = 0.15

Hence, the total amount of the crushed grapes =5 y= 5×0.15= 0.75 kg