Question

Together Fred and Wilma have saved $345 Wilma has have twice as much money as Fred how much money do they each have define your variables and set up a system of equations with two equations

Answer 1

Fred has $115 and Wilma has $230. We found this by defining variables and setting up a system of equations, then solving to find each person's amount.

Step-by-step explanation:

To solve this problem, let's define variables for the amounts of money Fred and Wilma have. Let's say Fred has x dollars, and Wilma has y dollars. We're given that Wilma has twice as much money as Fred, so we can express this relationship as y = 2x. We're also given that together they have saved $345, which gives us the equation x + y = 345. Now we have our system of equations:

1. y = 2x
2. x + y = 345

Substituting the first equation into the second, we replace y with 2x, which gives us:

x + 2x = 345

Combining like terms:

3x = 345

Now we divide both sides by 3:

x = 115

Since x is the amount of money Fred has, Fred has $115. Using the first equation to find Wilma's amount:

y = 2x = 2(115) = 230

So, Wilma has $230. Now we have the amounts of money both Fred and Wilma each have.