casey has $7 less than David. Together they have $97. How much money does Casey have?

Question

i need help with this word problem. I do not know how to do it

Answer 1

David has  x amount

Casey has (x-7) amount. 

Together they have $97. 

 

Therefore: x + (x+7) = 97

                2x - 7 = 97 ....... The main goal is to get x by itself.

 

So, add 7 to both sides

 

2x = 104 

 

Divide both sides by 2. Therefore, x = 52. 

 

Since x is the amount of money David has, David has $52. Since Casey has $7 less than David, $52 - $7 = $45

 

Double check: $52 + $45 = ? Do these numbers add to $97? Yes, they do, therefore, your answer is correct.