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Zorluk: KolayBasic Algebraic Expressions and One-Step Equations

An art teacher divides a container of clay equally among 66 students. If each student receives 1515 ounces of clay, and cc represents the total number of ounces of clay in the container, which of the following equations can be used to find cc?

  1. A
    6c=156c = 15
  2. B
    c6=15c - 6 = 15
  3. c6=15\frac{c}{6} = 15Cevap
  4. D
    c+6=15c + 6 = 15
  5. E
    6c=15\frac{6}{c} = 15

Cevap

c6=15\frac{c}{6} = 15
The equation representing the total amount of clay divided by the number of students equals the amount of clay per student is correct. Since the teacher divides the clay cc equally among 66 students, the expression c6\frac{c}{6} represents the amount each student gets, which is given as 1515 ounces. Therefore, the correct equation is c6=15\frac{c}{6} = 15.

Adım Adım Çözüm

1
Identify the relationship between the total amount of clay, the number of students, and the amount per student.
The total amount of clay, cc, divided by the number of students, 66, must equal the amount of clay each student receives.
Dividing a total quantity equally among a set number of groups is represented by division.
2
Write the relationship as an algebraic equation.
c6=15\frac{c}{6} = 15
Substitute the given values and variables into the division relationship.

Anahtar Kavram

Translating word problems into one-step algebraic division equations
Tahmini Süre:45s
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