the deli brought in a total of $580,800 last year. if they served approximately 200 customers each day over the 363 days that the deli was open, about how much did each customer spend on any given day?

$8.00
$10.31
$16.00
$29.04

Question

the deli brought in a total of $580,800 last year. if they served approximately 200 customers each day over the 363 days that the deli was open, about how much did each customer spend on any given day?

$8.00
$10.31
$16.00
$29.04

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Multiplication Word Problems", "Long Division Steps", "Estimation" ], "new_concepts": [ "Average Spending Calculation" ], "current_concepts": [ "Multiplication Word Problems", "Long Division Steps", "Estimation", "Average Spending Calculation" ] } ## Calculate total customers served Using the *Multiplication Word Problems* knowledge point $$ \begin{aligned} \text{Total Customers} &= \text{Customers per day} \times \text{Days open} \ &= 200 \times 363 \ &= 72,600 \end{aligned} $$ ## Estimate average spending per customer Using the *Estimation* knowledge point $$ \begin{aligned} \text{Estimated Revenue} &\approx \$580,000 \ \text{Estimated Customers} &\approx 72,500 \ \text{Estimated Average Spend} &\approx \frac{580,000}{72,500} = \$8.00 \end{aligned} $$ ## Calculate exact average spending Using the *Long Division Steps* knowledge point $$ \begin{aligned} \text{Average Spend} &= \frac{\text{Total Revenue}}{\text{Total Customers}} \ &= \frac{580,800}{72,600} \ &= \frac{5,808}{726} \ &= 8 \end{aligned} $$ ## Match with options The calculated average spending is exactly $ \$8.00 $, which matches the first option.

(A) $8.00

(B) $10.31

(C) $16.00

(D) $29.04

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

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QUESTION IMAGE

Question

Explanation:

Calculate total customers served

Estimate average spending per customer

Calculate exact average spending

Match with options

Answer: