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14 February, 21:45

two days at busch gardens willamsburg & 3 days at Universal Stuids Orlando cost $420, while 4 days at Busch gardens & 2 days at Universal cost $472. What is the cost per day at each park

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  1. 15 February, 00:26
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    The cost of each park per day are:

    Busch gardens: $80.45 per day

    Universal Studios: $81.86 per day

    Explanation:

    To solve this, first, we have to use the ratio of days given to calculate the specific amounts for each park. this is calculated thus;

    a. 2 days at Busch gardens and 3 days at Universal = $420

    Cost ratio of Busch gardens to Universal = 2:3. meaning that out of the cost in 5 parts, Busch gardens takes 2 parts, while Universal takes 3 parts

    Therefore actual prices are;

    Busch gardens; 2/5 * 420 = $168 (2 days)

    Universal studios; 3/5 * 420 = $252 (3 days)

    The same calculation is done for the second statement

    Busch gardens; 4/6 * 427 = $314.7 (4 days)

    Universal studios; 2/6 * 472 = $157.3 (2 days)

    Next, let us add the total number of days and amount for each park;

    Busch gardens; 2 days = $168; 4 days; $314.7

    ∴ 2 days + 4 days = 6 days = 168 + 314.7 = $482.7

    Universal studios; 3 days = $252; 2 days = $157.3

    ∴ 3 days + 2 days = 5 days = 252 + 157.3 = $409.3

    Finally to find the cost per day, let us divide the total cost by the total number of days;

    Busch gardens;

    6 days = $482.7

    ∴ 1 day = 482.7 : 6 = $80.45

    Universal studio;

    5 days = $ 409.3

    ∴ 1 day = 409.3 : 5 = $81.86.
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