Cory has $24 more than twice as much as Stan. Together they have $150. How much money does each have?

Question

I am having trouble with this problem

Answer 1

To solve this problem, first start setting up the equation.

 

Start with Stan first - this is the easiest. Let x = Stan

 

To get the part for Cory - he has $24 more than twice the amount of Stan, so his part of the equation would be set up as: 2x + 24

 

Combine these parts:

 

x + (2x + 24) 

 

Combined they have $150, so you would set the equation above equal to 150

 

x + (2x + 24) = 150

 

Combine like terms: 

 

3x + 24 = 150

 

Solve the equation for x

 

3x   +   24   =   150

       -   24         -24

3x               =   126      isolate x by itself on one side of the equation

 

divide both sides by 3 to get x by itself

 

3x    =    126

3              3

 

x    =   42

 

Now that you have solved for x, you know the amount that Stan has... $42

 

With this information you can substitute 42 for x in the equation that was created for Cory

 

2x + 24   would now by (2*42) + 24  which is $108

 

So, the amount that Stan has is $42 and Cory has $108

 

You can double check your work by adding $42 and $108 together to see if you get $150 (which you do)

 

Hope this helps!!! 

 

 

 

 

Answer 2

Let Stan have "x" dollars
Then Cory has "2x+24" dollars.

 

together they have $150, thus the equation is x + 2x+24 = 150 --> 3x +24 = 150 

3x = 150 -24= 126

3x= 126 --> x = 126/3 = 42$ (this is what Stan has). 

 

Corry's money is 2.42 +24 = 108$.