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24 votes
24 votes
Sonny has 2x + 3 dollars. Allan has 6x + 4 dollars. How much money did Sonny have if they both had $407 all together?

User Fth
by
2.9k points

1 Answer

17 votes
17 votes

Answer:

$103

Explanation:

In order to determine how much money Sonny has, we need to write a mathematical equation to solve for x. We know how much money Sonny and Allan each have in terms of x, and we can add the two expressions together to equal a total amount of $407. This will be represented and simplified as follows:

  • 2x + 3 + 6x + 4 = 407
  • 8x + 7 = 407

Now we can solve the equation for x.

  • 8x = 400
  • x = 50

We know that x is equal to 50, so we can plug it back into Sonny's expression to find out how much money she has.

  • 2(50) + 3 = 100 + 3 = 103
  • Sonny has $103.

We can check our work by solving for the amount of money Allan has and then adding up the two amounts to make sure the total is $407.

  • 6(50) + 4 = 300 + 4 = 304
  • CHECK: $103 + $304 = $407
User Ahmad Arslan
by
3.2k points
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