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

$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

answer; maintain a safe following distance;

the correct option is c