Answer:
150
Step-by-step explanation:
To solve this problem, first start setting up the equation.
Start with bob first - this is the easiest. Let x = bob
To get the part for susie - he has $24 more than twice the amount of bob, 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 bob has... $42
With this information you can substitute 42 for x in the equation that was created for susie
2x + 24 would now by (2*42) + 24 which is $108
So, the amount that bob has is $42 and susie 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!!!
