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Zorluk: OrtaBasic Algebraic Expressions and One-Step Equations

A wildlife conservation team tags and monitors sea turtle nests along a coastal beach. The team divides a total of nn nesting data loggers equally among 66 field researchers. If each researcher receives 1414 data loggers, which of the following equations correctly models this situation to find nn?

  1. A
    6n=146n = 14
  2. B
    n6=14n - 6 = 14
  3. n6=14\frac{n}{6} = 14Cevap
  4. D
    n+6=14n + 6 = 14
  5. E
    14n=6\frac{14}{n} = 6

Cevap

The correct equation is n6=14\frac{n}{6} = 14.
Dividing the total quantity nn equally among 66 researchers is algebraically expressed as n6\frac{n}{6}. Setting this equal to the 1414 loggers each researcher receives yields n6=14\frac{n}{6} = 14.

Adım Adım Çözüm

1
Identify the total quantity and how it is divided.
The total number of loggers is nn, and it is split equally among 66 researchers.
Dividing a total quantity into equal groups corresponds to the division operation n6\frac{n}{6}.
2
Equate the algebraic expression to the given result per group.
n6=14\frac{n}{6} = 14
Each researcher receives 1414 loggers, so the share per researcher, n6\frac{n}{6}, must equal 1414.

Anahtar Kavram

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