Respuesta :
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.
Answer:
$72 per day at Busch garden
$92 per day at universal
Explanation:
let a = cost per day at Busch garden
b = cost per day at Universal
The cost for 2 days at Busch garden and 3 days at universal is $420. The statement can be expressed as follows:
The sum can be expressed as
2a + 3b = 420........................(i)
The cost for 4 days at Busch garden and 2 days at universal is $472. It can be expressed as
4a + 2b = 472......................(ii)
The equation forms a simultaneous equation.
2a + 3b = 420........................(i)
4a + 2b = 472......................(ii)
from equation (i) make a subject of the formula
2a = 420 - 3b
divide both sides by 2
a = 420/2 - 3b/2
a = 210 - 3b/2
insert a in equation (ii)
4(210 - 3b/2) + 2b = 472
840 - 6b + 2b = 472
840 - 4b = 472
-4b = 472 - 840
-4b = -368
divide both sides by -4
b = -368/-4
b = 92
Insert b in equation (i)
2a + 3b = 420
2a + 3(92) = 420
2a + 276 = 420
2a = 420 - 276
2a = 144
divide both side by 2
a = 144/2
a = 72
