Question

Maria, Hans, and Dan have a total of $95 in their wallets. Dan has 3 times what Hans has. Hans has $10 more than Maria. How much do they have in their wallets?

Answer 1

It looks like everyone's amount of money is based on Maria's amount of money.  Let's say Maria is M, Hans is H and Dan is D.  Maria has M amount of money.  If Hans has 10 more than Maria, he has M+10.  If Dan has 3 times what Hans has and Hans has (M+10), then Dan has 3(M+10) which is 3M+30.  Altogether they have 95 dollars.  So we will add up what they have and set it equal to 95.  M+10+M+30+3M=95.  That simplifies to 5M+40=95 and 5M=55.  Therefore, Maria has 11 dollars.  Hans has 10+11=21, and Dan has 3(21)=63.  11+21+63=95