Complete the story so that it can be modeled by the equation $\frac{x}{4} = 6$. Kyle packed ____ for his family's picnic in the park. When they arrived, he ____. Each person got 6... Complete the story so that it can be modeled by the equation $\frac{x}{4} = 6$. Kyle packed ____ for his family's picnic in the park. When they arrived, he ____. Each person got 6 apple slices.

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Understand the Problem

The question asks to complete the story such that it can be modeled by the equation $\frac{x}{4} = 6$. The story involves Kyle packing something for a family picnic, where each person got 6 apple slices. The problem requires finding the total number of slices Kyle packed originally.

Answer

Kyle packed 24 apple slices for his family's picnic in the park. When they arrived, he divided the apple slices among the 4 family members. Each person got 6 apple slices.
Answer for screen readers

Kyle packed 24 apple slices for his family's picnic in the park. When they arrived, he divided the apple slices among the 4 family members. Each person got 6 apple slices.

Steps to Solve

  1. Understand the equation

The equation $\frac{x}{4} = 6$ represents a situation where a number $x$ is divided by 4, resulting in 6. In the context of the story, $x$ represents the total number of apple slices Kyle packed. Dividing $x$ by 4 ($x/4$) means the apple slices were split among 4 people. The result, 6, means each person received 6 slices.

  1. Fill in the first blank

Kyle packed $x$ apple slices for his family's picnic in the park.

  1. Fill in the second blank

When they arrived, he divided the apple slices among the 4 family members.

  1. Solve for x

To find the value of $x$, multiply both sides of the equation $\frac{x}{4} = 6$ by 4. $$ \frac{x}{4} \cdot 4 = 6 \cdot 4 $$ $$ x = 24 $$

Kyle packed 24 apple slices for his family's picnic in the park. When they arrived, he divided the apple slices among the 4 family members. Each person got 6 apple slices.

More Information

The value of $x$ is 24, meaning Kyle packed 24 apple slices.

Tips

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