179k views
3 votes
Amanda, Deshaun, and Joe have a total of $121 in their wallets. Joe has 4 times what Amanda has. Deshaun has $5 less than Amanda. How much does each have?

User ThibThib
by
7.5k points

1 Answer

6 votes

Final answer:

Amanda has $21, Joe has $84, and Deshaun has $16.

Step-by-step explanation:

Let's set up a system of equations to solve this problem.

  • Let's represent the amount Amanda has as 'x'
  • Joe has 4 times what Amanda has, so Joe has 4x
  • Deshaun has $5 less than Amanda, so Deshaun has x - $5

According to the given information, the sum of their amounts is $121:

x + 4x + (x - $5) = $121

Simplifying the equation:

6x - $5 = $121

Adding $5 to both sides:

6x = $126

Dividing both sides by 6:

x = $21

So, Amanda has $21, Joe has 4x = $84, and Deshaun has x - $5 = $16.

User Will Croft
by
8.2k points