Answer:
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.