Question

$33 billion a year is spent on tourism in Florida, Louisiana, and Mississippi. Tourist spend $2 billion more in Louisiana than they do in Mississippi. In Florida they spend $1 billion less than twice the amount spent in Mississippi. Find the amount spent in each state.

Answer 1

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

#SPJ1