A wildlife conservation team tags and monitors sea turtle nests along a coastal beach. The… — ACT

A wildlife conservation team tags and monitors sea turtle nests along a coastal beach. The team divides a total of $n$ nesting data loggers equally among $6$ field researchers. If each researcher receives $14$ data loggers, which of the following equations correctly models this situation to find $n$ ?

A
$6n = 14$
B
$n - 6 = 14$
$\frac{n}{6} = 14$ Answer
D
$n + 6 = 14$
E
$\frac{14}{n} = 6$

Answer

The correct equation is

\frac{n}{6} = 14

Dividing the total quantity

n

equally among

6

researchers is algebraically expressed as

\frac{n}{6}

. Setting this equal to the

14

loggers each researcher receives yields

\frac{n}{6} = 14

Step-by-Step Solution

Identify the total quantity and how it is divided.

The total number of loggers is

n

, and it is split equally among

6

researchers.

Dividing a total quantity into equal groups corresponds to the division operation

\frac{n}{6}

Equate the algebraic expression to the given result per group.

\frac{n}{6} = 14

Each researcher receives

14

loggers, so the share per researcher,

\frac{n}{6}

, must equal

14

Key Concept

Translating verbal descriptions of equal sharing into one-step division equations.

Estimated Time:1m 0s

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