Question

To make bread, 2 teaspoons of yeast are needed for 500 grams of flour. How many teaspoons of yeast are needed for 750 grams of flour?

Answer 1

3 teaspoons.

Step-by-step explanation:

500/2=250 grams per teaspoon

750/250=3

3 teaspoons

Answer 2

To determine the amount of yeast needed for 750 grams of flour when 2 teaspoons are needed for 500 grams of flour, set up a proportion resulting in 3 teaspoons of yeast for 750 grams of flour.

Step-by-step explanation:

First, let's state the proportion:
- 2 teaspoons of yeast are needed for 500 grams of flour.
We need to find out how many teaspoons of yeast are needed for 750 grams of flour.
To do this, we can set up a ratio. The ratio of yeast to flour is 2 teaspoons to 500 grams, and we want to maintain that ratio for a different amount of flour, specifically 750 grams.
The proportion can be written as:

`\frac{\text{teaspoons of yeast}}{\text{grams of flour}} = (2)/(500)`

We can use cross-multiplication to solve for the unknown number of teaspoons of yeast for 750 grams of flour. Let's call the unknown number of teaspoons "y".

`(y)/(750) = (2)/(500)`
Now, let's cross-multiply to solve for y:

`500 \cdot y = 750 \cdot 2`
When we perform the multiplication, we get:
500y = 1500
Now, divide both sides by 500 to solve for y:

`y = (1500)/(500)`
When we perform the division, we get:
y = 3
So, for 750 grams of flour, you would need 3 teaspoons of yeast to maintain the same ratio.