Respuesta :
[tex]\bf \begin{array}{ccll} \stackrel{strawberry}{lbs}&\stackrel{jam}{cups}\\ \cline{1-2} \frac{3}{4}&\frac{1}{3}\\\\ x&1 \end{array}\implies \cfrac{~~\frac{3}{4}~~}{x}=\cfrac{~~\frac{1}{3}~~}{1}\implies \cfrac{~~\frac{3}{4}~~}{\frac{x}{1}}=\cfrac{1}{3}\implies \cfrac{3}{4}\cdot \cfrac{1}{x}=\cfrac{1}{3} \\\\\\ \cfrac{3}{4x}=\cfrac{1}{3}\implies 9=4x\implies \cfrac{9}{4}=x\implies 2\frac{1}{4}=x[/tex]
Answer:
[tex]2\frac{1}{4}[/tex] pounds of strawberries.
Step-by-step explanation:
We have been given that Same uses [tex]\frac{3}{4}[/tex] pound of strawberries to make [tex]\frac{1}{3}[/tex] cup of strawberry jam. We are asked to find the pounds that Sam need to make 1 cup of strawberry jam.
To find the pounds that Sam need to make 1 cup of strawberry jam, we will divide [tex]\frac{3}{4}[/tex] pound by [tex]\frac{1}{3}[/tex] as:
[tex]\text{Pounds needed to make 1 cup of strawberry jam}=\frac{3}{4}\div\frac{1}{3}[/tex]
Now, we will convert the division problem into multiplication problem by flipping the 2nd fraction as:
[tex]\text{Pounds needed to make 1 cup of strawberry jam}=\frac{3}{4}\times \frac{3}{1}[/tex]
[tex]\text{Pounds needed to make 1 cup of strawberry jam}=\frac{3\times 3}{4 \times 1}[/tex]
[tex]\text{Pounds needed to make 1 cup of strawberry jam}=\frac{9}{4}[/tex]
[tex]\text{Pounds needed to make 1 cup of strawberry jam}=2\frac{1}{4}[/tex]
Therefore, Sam needs [tex]2\frac{1}{4}[/tex] pounds of strawberries to make 1 pound of jam.
