Question

The ratio of sugar and salt in a particular solution is 3:5. If 12 cubes of sugar are added, then find the cubes of salt added to the solution.

Answer 1

Hey mate ,

Let the common ratio be x

Thus sugar = 3x

salt = 5x

If 12 cubes of sugar is added then new sugar Constitution become :- 3x+12x = 15x

Hence new ratio = 15x/5x

= 3:1

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Answer 2

Answer:

20 cubes of salt are added to the solution.

Step-by-step explanation:

Given that the ratio of sugar and salt be 3 : 5

Let the multiplying factor be 'x'

Therefore, Sugar = 3x

and Salt = 5x

Now as 12 cubes of sugar are added

Then the amount of sugar added = 12x

Therefore, the total sugar = 3x + 12x

                                           = 15x

Let the amount of salt added be 'n'

and as the multiplying factor is x

Therefore, total salt = 5x + nx

                                 = x (5 + n)

Therefore, $\frac{3}{5}$ = $\frac{15x}{x(5+n)}$

=>  $\frac{3}{5}$ = $\frac{15}{5+n}$

=> 3 (5 + n) = 15*5

=> 15 + 3n = 75

=> 3n = 75 - 15

=> 3n = 60

=> n = 20

Therefore, 20 cubes of salt are added to the solution.