Question

15 litres of juice contains syrup and water in the ratio of 1:4. If more syrup is added until the ratio becomes 2:3, how many litres of juice is now available after the addition of syrup?
a. 18
b. 20
c. 21
d. 24

Answer 1

Answer:

20

Step-by-step explanation:

15litres=1:4

1x+4x=15

x=15/5

= 3

4x=12(water)

water is same in the added ratio,so

2y+3y=2y+12

3y=12

y=4

2y=8

3y=12,2y=8

12:8=20

Ans=20

Answer 2

20 liters of juice is now available after more syrup is added. (Option-B)

Given,

15 liters of juice contains syrup and water in the ratio of 1:4.

When more syrup is added, the ratio becomes 2:3.

To find,

The number of liters of juice now available after more syrup is added.

Solution,

We can simply solve this mathematical problem using the following process:

Let us assume that x liters of syrup is added to the juice.

Initially;

15 liters of juice contains syrup and water in the ratio of 1:4

=> Amount of syrup in the initial juice = (1/1+4)×15 liters

= 1/5×15 liters

= 3 liters

And, the amount of water in the initial juice = (4/1+4)×15 liters

= 4/5×15 liters

= 12 liters

Now, according to the question;

When more syrup is added,

the total amount of syrup in the final juice

= (amount of syrup in the initial juice) + (amount of syrup added)

= (3+x) liters

Now, When more syrup is added, the ratio of syrup to water becomes 2:3

=> (amount of syrup)/(amount of water) = 2/3

=> (3+x)/(12) = 2/3

=> x + 3 = 8

=> x = 5

=> amount of syrup added to the juice = 5 liters

Now, the total amount of juice now available after more syrup is added

= (amount of syrup in the initial juice) + (amount of water in the initial juice) + (amount of syrup added to the juice)

= 3 liters + 12 liters + 5 liters

= 20 liters

Hence, 20 liters of juice is now available after more syrup is added. (Option-B)