In the diagram below, bc is an altitude of aabd. to the nearest whole unit,
what is the length of cd?

here example

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

Step-by-step explanation:

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!!!