Question

A recipe requires 3 cups of sugar for every 4 cups of flour. If the baker uses 2 cups of sugar, how much flour should the baker use.

Answer 1

Answer:  $2\dfrac{2}{3}$ cups of flour.

Step-by-step explanation:

Given : A recipe requires 3 cups of sugar for every 4 cups of flour.

Ratio of sugar to flour = $\dfrac{\text{Cups of sugar}}{\text{Cups of flour}}=\dfrac{3}{4}$    (1)

Let x be the number of cups of flour used for 2 cups of sugar .

Ratio of sugar to flour = $\dfrac{2}{x}$     (2)

We assume that the quantity of flour and sugar are directly proportional.

From (1) and (2) , we get

$\dfrac{3}{4}=\dfrac{2}{x}$

$\Rightarrow\ 3x=(4)(2)=8$

$\Rightarrow\ x=\dfrac{8}{3}=2\dfrac{2}{3}$

Hence, the baker should use $2\dfrac{2}{3}$ cups of flour.

Answer 2

2 cups of sugar is 2/3 of what the recipe says so to get there you divide by 3 then multiply by 2. You do this process to the flour too. You do 4÷3×2 which is around 2.67 cups or could be rounded to 3. Hope this is helpful!