An artisan pottery workshop uses a total of c kilograms of clay to make ceramic vases. If … — ACT

An artisan pottery workshop uses a total of $c$ kilograms of clay to make ceramic vases. If each vase requires $4$ kilograms of clay and the workshop produced $18$ vases in total, which of the following equations models this scenario, and what is the total amount of clay $c$ used?

$\frac{c}{4} = 18$ ; $c = 72$ Answer
B
$4c = 18$ ; $c = 4.5$
C
$c - 4 = 18$ ; $c = 22$
D
$c + 4 = 18$ ; $c = 14$
E
$\frac{c}{18} = 4$ ; $c = 14$

Answer

The correct equation is

\frac{c}{4} = 18

, which gives

c = 72

kilograms.

The total amount of clay

c

divided by the

4

kilograms required per vase gives the total number of vases,

18

. Thus,

\frac{c}{4} = 18

. Multiplying both sides by

4

yields

c = 72

kilograms.

Step-by-Step Solution

Define the algebraic relationship from the scenario.

The total amount of clay

c

divided by the clay required per vase (

4

kg) equals the total number of vases (

18

). This gives the equation

\frac{c}{4} = 18

Dividing the whole quantity into equal parts of size

4

determines the count of items.

Solve the one-step equation for the total clay

c

c = 18 \times 4 = 72

Multiply both sides of the equation by

4

to isolate the variable

c

Key Concept

Formulating and solving one-step linear equations from word problems involving rates.

Estimated Time:1m 0s

Question

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Topics

More questions from this topic