Question

Neha is bringing her favourite dip to picnic .This recipe is for 20 people but she

needs to make dip just for 10 people only.Can you help her halve this recipe.

Ingredients Quantity

Yoghurt 5/2 cups

Salt ½ tspLemon juice ¼ tsp

Olive oil 1/8 tsp

Garlic 2 cloves

a) What measure of yoghurt is required?

b) How much lemon juice is needed?

c) How much salt is required for 40 people?

d) Find total amount of salt ,lemon juice and olive oil used in original recipe.​

Answer 1

Given:

Neha is bringing her favourite dip to picnic.

This recipe is for 20 people but she  needs to make dip just for 10 people only.

Ingredients Quantity :

Yoghurt 5/2 cups

Salt ½ tsp

Lemon juice ¼ tsp

Olive oil 1/8 tsp

Garlic 2 cloves

To find:

a) What measure of yoghurt is required?  

b) How much lemon juice is needed?  

c) How much salt is required for 40 people?  

d) Find the total amount of salt, lemon juice and olive oil used in the original recipe.​

Solution:

(a). Finding the measure of yoghurt in the new recipe for 10 people:

If the recipe for 20 people requires → $\frac{5}{2} \:cups$ of yoghurt

Then, the recipe for 1 people would require → $\frac{\frac{5}{2} }{20} \:cups$ of yoghurt

∴ The recipe for 10 people would require = $\frac{\frac{5}{2} }{20} \times 10 \:cups = \frac{5 }{4} \:cups$ of yoghurt

Thus,  $\bold{\frac{5 }{4} \:cups}$ of yoghurt is required.

(b). Finding the measure of lemon juice in the new recipe for 10 people:

If the recipe for 20 people requires → $\frac{1}{4} \:tsp$ of lemon juice

Then, the recipe for 1 people would require → $\frac{\frac{1}{4} }{20} \:tsp$ of lemon juice

∴ The recipe for 10 people would require = $\frac{\frac{1}{4} }{20} \times 10 \:tsp = \frac{1 }{8} \:tsp$ of lemon juice

Thus,  $\bold{\frac{1 }{8} \:tsp}$ of lemon juice is needed.

(c). Finding the measure of salt in the recipe for 40 people:

If the recipe for 20 people requires → $\frac{1}{2} \:tsp$ of salt

Then, the recipe for 1 people would require → $\frac{\frac{1}{2} }{20} \:tsp$ of salt

∴ The recipe for 40 people would require = $\frac{\frac{1}{2} }{20} \times 40 \:tsp = 1 \:tsp$ of salt

Thus,  $\bold{1 \:tsp}$ of salt is required for 40 people.

(d). Finding the total amount of salt, lemon juice and olive oil used in the original recipe for 20 people:

The amount of salt, lemon & olive oil in the original recipe:

Salt → $\frac{1}{2} \:tsp$

Lemon juice → $\frac{1 }{4} \:tsp$

Olive oil → $\frac{1}{8} \:tsp$

∴ The total amount of salt, lemon & olive oil = $\frac{1}{2} + \frac{1}{4} + \frac{1}{8}$ = $\frac{4+2+1}{8}$ = $\frac{7}{8}\:tsp$

Thus, the total amount of salt, lemon juice and olive oil used in the original recipe is → $\bold{\frac{7}{8} \:tsp}$.

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