Respuesta :

Answer:

[tex]\frac{3}{2}[/tex] and [tex]\frac{1}{2}[/tex].

Step-by-step explanation:

A recipe needs of [tex]\frac{1}{2}[/tex] lb of flour for 1 batch.

Now, we have to calculate the number of batches can be made with [tex]\frac{3}{4}[/tex] lb and [tex]\frac{1}{4}[/tex] lb of flour.

Therefore, with [tex]\frac{3}{4}[/tex] lb of water the number of batches of the recipe can be made is [tex]\frac{3}{4} \div \frac{1}{2} = \frac{3}{2}[/tex].

Again, with [tex]\frac{1}{4}[/tex] lb of water the number of batches of the recipe can be made is [tex]\frac{1}{4} \div \frac{1}{2} = \frac{1}{2}[/tex].

(Answer)

The number of batches made is proportional to the amount of flour used in

the recipe.

  • 3/4 lb of flour makes 1.5 batches
  • 1/4 lb of flour makes 0.5 batch

Reasons:

The given parameter are;

The mass of flour called for for 1 batch = 1/2 lb

Required:

The number of batches that can be made with 3/4 lb of flour

Solution:

Using simple proportional relationships, we have

[tex]\displaystyle \frac{1}{2} \ lb \equiv 1 \ batch[/tex]

[tex]\displaystyle \frac{\frac{1}{2}}{\frac{1}{2}} \ lb = 1 \ lb \equiv \frac{1 \ batch}{\frac{1}{2}} = 2 \times 1 \ batch = 2 \ batch[/tex]

[tex]\displaystyle 1 \ lb \equiv \mathbf{2 \ batch}[/tex]

[tex]\displaystyle \frac{3}{4} \times 1 \ lb = \frac{3}{4} \ lb \equiv \frac{3}{4} \times \ 2 \ batch = \frac{3}{2} \ batch = 1.5 \ batch[/tex]

[tex]\displaystyle \frac{3}{4} \ lb \equiv \mathbf{1.5 \ batch}[/tex]

3/4 lb of flour makes 1.5 batches

Required:

The number of batches that can be made with 1/4 lb of flour

Solution:

We have;

[tex]\displaystyle \frac{1}{4} \times 1 \ lb \equiv \frac{1}{4} \times 2 \ batch = \frac{1}{2}\ batch = \mathbf{ 0.5 \ batches}[/tex]

1/4 lb of flour makes 0.5 batch

Learn more about proportional relationships here:

https://brainly.com/question/10424180

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