Question

Sam use 6absmiddle" class="latex-formula">s pound of strawberries to make 441$\frac1{3}{}$ cup of strawberry jam. HOW Manny pounds does he need to make 1 cup of strawberry jam.
SOLVE THEM IN STEPPS PLEASE< DO IT RIGHT ILL GIVE BRAINLIEST :D

Answer 1

Answer:

$2\frac{1}{4}$ pounds of strawberries.

Step-by-step explanation:

We have been given that Same uses $\frac{3}{4}$ pound of strawberries to make $\frac{1}{3}$ 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  $\frac{3}{4}$ pound by $\frac{1}{3}$  as:

$\text{Pounds needed to make 1 cup of strawberry jam}=\frac{3}{4}\div\frac{1}{3}$

Now, we will convert the division problem into multiplication problem by flipping the 2nd fraction as:

$\text{Pounds needed to make 1 cup of strawberry jam}=\frac{3}{4}\times \frac{3}{1}$

$\text{Pounds needed to make 1 cup of strawberry jam}=\frac{3\times 3}{4 \times 1}$

$\text{Pounds needed to make 1 cup of strawberry jam}=\frac{9}{4}$

$\text{Pounds needed to make 1 cup of strawberry jam}=2\frac{1}{4}$

Therefore, Sam needs $2\frac{1}{4}$ pounds of strawberries to make 1 pound of jam.

Answer 2

$\bf \begin{array}{ccll} \stackrel{strawberry}{lbs}&\stackrel{jam}{cups}\\ \cline{1-2} \frac{3}{4}&\frac{1}{3}\\\\ x&1 \end{array}\implies \cfrac{~~\frac{3}{4}~~}{x}=\cfrac{~~\frac{1}{3}~~}{1}\implies \cfrac{~~\frac{3}{4}~~}{\frac{x}{1}}=\cfrac{1}{3}\implies \cfrac{3}{4}\cdot \cfrac{1}{x}=\cfrac{1}{3} \\\\\\ \cfrac{3}{4x}=\cfrac{1}{3}\implies 9=4x\implies \cfrac{9}{4}=x\implies 2\frac{1}{4}=x$