A local wildlife sanctuary maintains a specialized feeding program for rehabilitated hawks… — ACT

A local wildlife sanctuary maintains a specialized feeding program for rehabilitated hawks. Each hawk receives $p$ pounds of meat mixture per week. If the sanctuary cares for $18$ hawks and uses a total of $45$ pounds of meat mixture per week, which of the following equations can be used to find $p$ ?

$18p = 45$ Answer
B
$\frac{p}{18} = 45$
C
$p + 18 = 45$
D
$p - 18 = 45$
E
$45p = 18$

Answer

18p = 45

The total amount of meat mixture used (

45

pounds) is equal to the number of hawks (

18

) multiplied by the amount of meat mixture each hawk receives (

p

pounds). Setting up this relationship gives the equation

18p = 45

Step-by-Step Solution

Identify the relationship between total quantity, number of groups, and quantity per group.

Total meat mixture = (Number of hawks)

\times

(Pounds per hawk)

Equal groups being combined call for multiplication.

Substitute the given values into the relationship.

45 = 18 \times p

, which simplifies to

18p = 45

The total is 45 pounds, the number of hawks is 18, and the rate per hawk is

p

Key Concept

Formulating one-step multiplication equations from real-world contexts

Estimated Time:1m 0s

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