serena makes 2\\frac{1}{4} cups of popcorn using 1\\frac{1}{2} tablespoons of kernels. she wants to know how…

serena makes 2\\frac{1}{4} cups of popcorn using 1\\frac{1}{2} tablespoons of kernels. she wants to know how many tablespoons of kernels to use to make 6 cups of popcorn. which is a reasonable estimate for the amount of kernels serena needs to make 6 cups of popcorn? about 2 tablespoons of kernels about 4 tablespoons of kernels about 6 tablespoons of kernels

serena makes 2\\frac{1}{4} cups of popcorn using 1\\frac{1}{2} tablespoons of kernels. she wants to know how many tablespoons of kernels to use to make 6 cups of popcorn. which is a reasonable estimate for the amount of kernels serena needs to make 6 cups of popcorn? about 2 tablespoons of kernels about 4 tablespoons of kernels about 6 tablespoons of kernels

Answer

Explanation:

Step1: Convert mixed - numbers to improper fractions

$2\frac{1}{4}=\frac{2\times4 + 1}{4}=\frac{9}{4}$ cups of popcorn, $1\frac{1}{2}=\frac{1\times2+1}{2}=\frac{3}{2}$ tablespoons of kernels.

Step2: Set up a proportion

Let $x$ be the number of tablespoons of kernels for 6 cups of popcorn. The proportion is $\frac{\frac{3}{2}}{\frac{9}{4}}=\frac{x}{6}$.

Step3: Cross - multiply

$\frac{9}{4}x=\frac{3}{2}\times6$. Since $\frac{3}{2}\times6 = 9$, the equation becomes $\frac{9}{4}x = 9$.

Step4: Solve for $x$

Multiply both sides by $\frac{4}{9}$, so $x=9\times\frac{4}{9}=4$.

Answer:

B. about 4 tablespoons of kernels