// Numbas version: finer_feedback_settings {"name": "Calculation: Division Word Problem", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Calculation: Division Word Problem", "tags": [], "metadata": {"description": "

Given the total cost, insurance cost, and daily cost of hiring a bicycle, calculate the number of days the bicycle was hired for.

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{names[index]} hired a bike during his holiday. The insurance cost was \\${insurance} regardless of the number of hire days and the hire fee was an additional \\${hire_per_day} per day. 

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The total cost includes both the insurance and the hire cost:

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\\[ \\begin{split} \\text{total cost} &= \\text{hire cost} + \\text{insurance} \\\\ $\\var{total_cost} &= \\text{hire cost} + $\\var{insurance} \\end{split} \\]

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If we subtract the insurance from the total cost we will have the hire cost:

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\\[ \\text{hire cost} = $\\var{total_cost} - $\\var{insurance} = $\\var{total_cost-insurance} \\]

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The question tells us that the bike costs \\$$\\var{hire_per_day}$ to hire each day.

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If we divide the total hire cost by the daily hire cost we will get the number of days:

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\\[\\text{number of days} = \\var{total_cost-insurance} ÷ \\var{hire_per_day} = \\var{days} \\]

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{names[index]} hired the bike for {days} days.

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The one-off fee for insurance.

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The number of days that the bike is hired.

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The dollar cost to hire the bike per day.

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Index for list of names.

", "templateType": "randrange", "can_override": false}, "names": {"name": "names", "group": "Ungrouped variables", "definition": "[ \"Sam\", \"Joseph\", \"Mark\", \"Jim\", \"Tarin\", \"Luke\", \"Ali\", \"Ben\" ]", "description": "
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List of boys names for bike hire.

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Total cost of hiring the bike over the time period.

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If the total cost of the bike was \\${total_cost}, how many days did {names[index]} hire the bike for?

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