Question

Q 1: You are making chocolate chip cookies. The recipe calls for 1/8 teaspoon salt to 1/4 teaspoon baking soda. How much baking soda is needed for 1 teaspoon of salt?

Q 2:Use the information contained within the question one. How much salt is needed for 1 teaspoon of baking soda?

Answer 1

x = teaspoon of soda needed = 2 teaspoons of baking soda for 1 teaspoon of salt

y = teaspoons of baking soda needed = 1/2 teaspoons of salt needed for 1 teaspoon of baking soda

Explanation:

Teaspoon of salt : Teaspoon of soda

1/8 : 1/4

How much baking soda is needed for 1 teaspoon of salt?

Let

x = teaspoon of soda needed

Teaspoon of salt : Teaspoon of soda

1 : x

Equate both proportion

Teaspoon of salt : Teaspoon of soda

1/8 : 1/4 = 1 : x

1/8 ÷ 1/4 = 1/x

1/8 × 4/1 = 1/x

4/8 = 1/x

Cross product

4*x = 8*1

4x = 8

x = 8/4

= 2

x = 2 teaspoons of

x = teaspoon of soda needed = 2 teaspoons for 1 teaspoon of salt

2. How much salt is needed for 1 teaspoon of baking soda?

Let y = teaspoons of baking soda needed

Teaspoon of salt : Teaspoon of soda = y : 1

Equate the proportion

1/8 : 1/4 = y : 1

1/8 ÷ 1/4 = y / 1

1/8 × 4/1 = y / 1

4/8 = y / 1

Cross product

4 * 1 = 8 * y

4 = 8y

y = 4/8

= 1/2

y = 1/2 teaspoons of baking soda

y = teaspoons of baking soda needed = 1/2 teaspoons needed for 1 teaspoon of baking soda