a postal carrier can deliver mail to about 900 addresses in one day. in the city of hewitt, there are 26,942 residents. workforce policies require hiring 5 percent more carriers than are estimated to be needed in order to compensate for vacation, sick days, and so on. about how many mail carriers must be hired to deliver mail to all of the hewitt citizens each day?

a. 29
b. 30
c. 31
d. 32

Question

a postal carrier can deliver mail to about 900 addresses in one day. in the city of hewitt, there are 26,942 residents. workforce policies require hiring 5 percent more carriers than are estimated to be needed in order to compensate for vacation, sick days, and so on. about how many mail carriers must be hired to deliver mail to all of the hewitt citizens each day?

a. 29
b. 30
c. 31
d. 32

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Real-world Estimation", "Percentage Calculations", "Multi-step Word Problems" ], "new_concepts": [], "current_concepts": [ "Real-world Estimation", "Percentage Calculations", "Multi-step Word Problems" ] } ## Estimate the required number of carriers $$ \begin{aligned} &\text{Residents} \approx 27,000 \ &\text{Addresses per carrier} \approx 900 \ &\text{Estimated carriers} = \frac{27,000}{900} = 30 \end{aligned} $$ ## Calculate the total carriers to hire with 5% buffer $$ \begin{aligned} &\text{Buffer} = 30 \times 0.05 = 1.5 \ &\text{Total carriers} = 30 + 1.5 = 31.5 \approx 31 \text{ or } 32 \end{aligned} $$ ## Refine calculation with exact resident count $$ \begin{aligned} &\text{Exact carriers needed} = \frac{26,942}{900} \approx 29.936 \ &\text{Total with 5% buffer} = 29.936 \times 1.05 \approx 31.43 \end{aligned} $$ Rounding to the nearest whole number gives $31$.

(A) 29

(B) 30

(C) 31

(D) 32

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Multi-step Word Problems" ] }

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Question

Explanation:

Estimate the required number of carriers

Calculate the total carriers to hire with 5% buffer

Refine calculation with exact resident count

Answer: