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

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!

Answer 2

Answer:
`2(2)/(3)` cups of flour.

Explanation:

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

Ratio of sugar to flour =
`\frac{\text{Cups of sugar}}{\text{Cups of flour}}=(3)/(4)` (1)

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

Ratio of sugar to flour =
`(2)/(x)` (2)

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

From (1) and (2) , we get

`(3)/(4)=(2)/(x)`

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

`\Rightarrow\ x=(8)/(3)=2(2)/(3)`

Hence, the baker should use
`2(2)/(3)` cups of flour.