Question

A recipe for 4 servings requires salt and pepper to be added in the ratio of 2:3. If the recipes
adjusted from 4 to 8 servings, what is the ratio of the salt and pepper that must now be added
(a) 4:3
(b) 2:6
(c) 2:3
(d) 3:2​

Answer 1

Answer:

A is the answer for your question

Answer 2

No change in ratio of the salt and pepper that must now be added and same ratio needs to be added  that is 2 : 3. The correct option is (c)

Solution:

Given that a recipe of 4 servings requires salt and pepper to be added in the ration 2:3. If the recipe is adjusted from 4 to 8 servings what is the ratio of the salt and pepper that must now be added.

Let’s assume for 4 servings total quantity of salt and pepper = 20

So salt for 4 serving = $\frac{2}{5} \times 20 = 8$

And pepper for 4 serving = $\frac{3}{5} \times 20 = 12$

Now calculate required quantity for 8 servings.

For 4 servings, total is 20 so for 8 servings total required quantity of salt and pepper = 20 x 2 = 40

So salt for 8 servings = $40 \times \frac{2}{5} = 16$

And pepper for 8 serving = $40 \times \frac{3}{5} = 24$

So salt need to be added for 8 serving = required salt for 8 serving – present salt for 4 serving  

= 16 – 8 = 8

Similarly pepper need to be added for 8 serving = required pepper for 8 serving – present pepper for 4 serving = 24 – 12 = 12

Required ratio = salt added / pepper added = $\frac{8}{12} = \frac{2}{3}$

Hence no change in ratio and same ratio needs to be added that is 2 : 3