how do i solve the problem

Question

From their opening​ dates, musical A and musical B have together made ​$7.5 billion worldwide. Musical A has made ​$0.6 billion more than twice what musical B has made. Find the revenue of each musicals.

Answer 1

In the first part of your equation you have:

From their opening​ dates, musical A and musical B have together made ​$7.5 billion worldwide.

Which will give you the equation: A+ B= $7.5

The second part states:

Musical A has made ​$0.6 billion more than twice what musical B has made.

Which the equation here would be: A = 2B + $0 .6

Best way to do this is using substitution which uses:

2B +0 .6 + B = 7.5

Solve for B which gives

3B+0.6= 7.5

3B= 6.9

B= 2.3

Now you can plug B in for any of the two equations easiest one is A+B= $7.5

It now leads you with:

A+2.3= 7.5

Solve for A:

A= 5.2

Hope that helps!

Answer 2

Hi Lrs, the problem provides two statements (in the first two sentences), so we will need to create two equations. Let us ignore the units (billions of dollars) for now. (We will add that in to the final answer.) The first sentence tells us:

A + B = 7.5

The second sentence tells us:

A = 2B + .6

We have a systems of equations, with two equations and two variables. There are multiple ways to solve this. Let's use the substitution method, substituting for A from the second equation into the first. Then we get:

2B + .6 + B = 7.5

I think you can solve for B from here. To find A, substitute the value of B that you find into either of the two original equations.