Answer:
Step-by-step explanation:
All these amount of money are based on Dan's initial amount, which is x. Ben had 7 more than Dan, so Ben's amount of money is x + 7. Kaden has 4 more than Ben, so Kaden's amount of money is 4 + (x + 7) which is x + 11. So here's the breakdown so far:
Dan: x
Ben: x + 7
Kaden: x + 11
Now it looks like Kaden is the favorite and got another 20 from his mom, so his amount became x + 31. After Dan spends a dollar, making his amount x - 1, Kaden had 9 times what Dan had. Now we have finally:
x + 31 = 9(x - 1) and
x + 31 = 9x - 9 and
40 = 8x so
x = 5.
Dan originally had $5, Ben originally had $12, and Kaden originally had $16
