Respuesta :
Using a system of equations, the amounts spent on each state are given as follows:
- Florida: $15 billion.
- Louisiana: $10 billion.
- Mississippi: $8 billion.
What is a system of equations?
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The variables for this problem are given by:
- Variable x: Amount spent in Florida, in billions of dollars.
- Variable y: Amount spent in Louisiana, in billions of dollars.
- Variable z: Amount spent in Mississippi, in billions of dollars.
$33 billion a year is spent on tourism in Florida, Louisiana, and Mississippi, hence:
x + y + z = 33.
$2 billion more in Louisiana than they do in Mississippi, hence:
y = z + 2.
In Florida they spend $1 billion less than twice the amount spent in Mississippi, hence:
x = 2z - 1.
Replacing in the first equation, we can solve for z, hence:
2z - 1 + z + 2 + z = 33
4z + 1 = 33.
4z = 32
z = 8.
Hence x and y are given by:
- x = 2z - 1 = 2 x 8 - 1 = 15.
- y = z + 2 = 8 + 2 = 10.
Hence the amounts are:
- Florida: $15 billion.
- Louisiana: $10 billion.
- Mississippi: $8 billion.
More can be learned about a system of equations at https://brainly.com/question/24342899
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