A community garden supervisor distributes a total of d pounds of organic compost equally a… — ACT

A community garden supervisor distributes a total of $d$ pounds of organic compost equally among $8$ raised garden beds. If each bed receives exactly $14.5$ pounds of compost, which of the following equations can be solved to find $d$ ?

$\frac{d}{8} = 14.5$ Answer
B
$8d = 14.5$
C
$d - 8 = 14.5$
D
$d + 8 = 14.5$
E
$\frac{14.5}{d} = 8$

Answer

The equation representing the relationship is

\frac{d}{8} = 14.5

The correct equation represents taking the total weight of compost,

d

, and dividing it equally into

8

parts to get

14.5

pounds per bed, which yields

\frac{d}{8} = 14.5

Step-by-Step Solution

Identify the total quantity and how it is divided.

Total compost =

d

pounds, divided equally among

8

beds.

Equal sharing corresponds to division of the total quantity by the number of shares.

Set up the algebraic expression for the amount per bed.

Amount per bed =

\frac{d}{8}

Dividing total pounds

d

8

gives the weight allocated to each individual bed.

Equate the expression to the given quantity per bed.

\frac{d}{8} = 14.5

The problem states that each bed receives

14.5

pounds of compost.

Key Concept

Translating equal division word problems into one-step algebraic equations

Estimated Time:1m 0s

Question

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Topics

More questions from this topic