A music festival stage technician mounts a series of n identical LED light panels side-by-… — ACT

A music festival stage technician mounts a series of $n$ identical LED light panels side-by-side along the main stage frame. The main stage frame has a total length of $168$ feet, and each LED light panel spans a length of $3.5$ feet. Which of the following equations can be solved to find $n$ , the total number of LED light panels mounted along the frame?

A
$n + 3.5 = 168$
B
$\frac{n}{3.5} = 168$
$3.5n = 168$ Answer
D
$n - 3.5 = 168$
E
$168n = 3.5$

Answer

The equation

3.5n = 168

can be solved to find the total number of LED light panels.

The total length of the stage frame is equal to the length of a single panel multiplied by the total number of panels. Since each panel is

3.5

feet long and there are

n

panels, the expression for total length is

3.5n

. Setting this product equal to the total length of

168

feet gives

3.5n = 168

Step-by-Step Solution

Identify the relationship between total length, individual length, and quantity.

Total Length = (Length of 1 Panel)

\times

(Number of Panels)

Since all panels are identical and placed end-to-end, their combined length is equal to the total frame length.

Substitute given values and variables into the rate relationship.

168 = 3.5 \times n

3.5n = 168

Given that length per panel is

3.5

feet, number of panels is

n

, and total frame length is

168

feet.

Key Concept

Translating real-world multiplicative rate scenarios into one-step linear equations.

Estimated Time:1m 0s

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