An art teacher divides a container of clay equally among 6 students. If each student recei… — ACT

An art teacher divides a container of clay equally among $6$ students. If each student receives $15$ ounces of clay, and $c$ represents the total number of ounces of clay in the container, which of the following equations can be used to find $c$ ?

A
$6c = 15$
B
$c - 6 = 15$
$\frac{c}{6} = 15$ Answer
D
$c + 6 = 15$
E
$\frac{6}{c} = 15$

Answer

\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

c

equally among

6

students, the expression

\frac{c}{6}

represents the amount each student gets, which is given as

15

ounces. Therefore, the correct equation is

\frac{c}{6} = 15

Step-by-Step Solution

Identify the relationship between the total amount of clay, the number of students, and the amount per student.

The total amount of clay,

c

, divided by the number of students,

6

, must equal the amount of clay each student receives.

Dividing a total quantity equally among a set number of groups is represented by division.

Write the relationship as an algebraic equation.

\frac{c}{6} = 15

Substitute the given values and variables into the division relationship.

Key Concept

Translating word problems into one-step algebraic division equations

Estimated Time:45s

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