Question

a recipe for 1 pumpkin pie calls for 1 / 1 / 4 cups of sugar . Alana has only 1/2 cup of sugar and she needs to make 4 pumpkin pies . How many more cups of sugar will Alana need to make all 4 pies ?

Answer 1

`S=4(1)/(2)\rightarrow\text{ Option \lparen B\rparen}`

Step-by-step explanation: The recipe for pumpkin pie calls for 1 1/4 cups of sugar, we need to make 4 pie, therefore the required sugar cups is as follows:

`\begin{gathered} S_4=4*1(1)/(4)=4*(5)/(4)=(20)/(4)=5 \\ \end{gathered}`

Alana already has a 1/2 cup of sugar, there she needs additional following cups:

`\begin{gathered} S=5-(1)/(2)=(5)/(1)-(1)/(2) \\ S=(5)/(1)-(1)/(2)=(10)/(2)-(1)/(2) \\ S=(9)/(2)=4(1)/(2) \\ S=4(1)/(2) \end{gathered}`

Therefore Alana needs 4 and a half additional cups of sugar.