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Zorluk: OrtaBasic Algebraic Expressions and One-Step Equations

A local wildlife sanctuary maintains a specialized feeding program for rehabilitated hawks. Each hawk receives pp pounds of meat mixture per week. If the sanctuary cares for 1818 hawks and uses a total of 4545 pounds of meat mixture per week, which of the following equations can be used to find pp?

  1. 18p=4518p = 45Cevap
  2. B
    p18=45\frac{p}{18} = 45
  3. C
    p+18=45p + 18 = 45
  4. D
    p18=45p - 18 = 45
  5. E
    45p=1845p = 18

Cevap

18p=4518p = 45
The total amount of meat mixture used (4545 pounds) is equal to the number of hawks (1818) multiplied by the amount of meat mixture each hawk receives (pp pounds). Setting up this relationship gives the equation 18p=4518p = 45.

Adım Adım Çözüm

1
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.
2
Substitute the given values into the relationship.
45=18×p45 = 18 \times p, which simplifies to 18p=4518p = 45.
The total is 45 pounds, the number of hawks is 18, and the rate per hawk is pp.

Anahtar Kavram

Formulating one-step multiplication equations from real-world contexts
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