Respuesta :
Answer:
Rj has [tex]138[/tex] dollars, Shawn has [tex]143[/tex] dollars, and Riley has [tex]133[/tex] dollars.
Step-by-step explanation:
Let's make the amount of money Rj has [tex]x[/tex], so Shawn would have [tex]5+x[/tex] dollars, and Riley would have [tex](5+x)-10[/tex] dollars. Altogether they have [tex]414[/tex] dollars, so you can create an equation.
[tex]x+(5+x)+((5+x)-10)=414\\3x+0=414\\3x=414\\x=138[/tex]
Now that we know that [tex]x=138[/tex], we can substitute x into each equation.
Rj has [tex]138[/tex] dollars, Shawn has [tex]143[/tex] dollars, and Riley has [tex]133[/tex] dollars.
Answer:
Rj = $138
Shawn = $143
Riley = $133
Step-by-step explanation:
Notes
We can set up an equation to solve
-> x will be equal to Rj
-> For Riley, Shawn has 5 more than Rj (x + 5) and Riley has 10 less. 5 - 10 = -5
Solving for x
[equation] (x) + (x + 5) + (x - 5) = 414
[combine like terms] 3x = 414
[divide both sides by 3] x = 138
Solving for how much each person has
Rj = $138
Shawn = $138 + 5 = $143
Riley = $138 - 5 = $133
Checking work
$138 + $143 + $133 = $414 ✔
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather