// Numbas version: finer_feedback_settings {"name": "NA Working out days hired from total cost (10+)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "NA Working out days hired from total cost (10+)", "tags": ["LANTITE", "Western Sydney MESH"], "metadata": {"description": "

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students are given the total cost, insurance fee and daily hire charge (all randomly generated). They need to calculate the number of days hired.

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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 of \\${total_cost} includes both the insurance (\\${insurance}) and the cost per day.

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If we subtract the insurance from the total cost we will have the cost per day.

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\\${total_cost} - \\${insurance} = \\${total_cost-insurance}

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The bike cost \\${hire_per_day} to hire each day.

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If we divide the total amount paid for the hire component by the daily cost we will get the number of days that the bike was hired.

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{total_cost-insurance} ÷ {hire_per_day} = {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.

", "templateType": "list of strings", "can_override": false}, "total_cost": {"name": "total_cost", "group": "Ungrouped variables", "definition": "{insurance}+{hire_per_day}*{days}", "description": "
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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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