Question

Shawn has $5 more than Rj and Riley has $10 less than Shawn. If there combined total is $414, how much does

each person have?

Answer 1

Rj has
`138` dollars, Shawn has
`143` dollars, and Riley has
`133` dollars.

Explanation:

Let's make the amount of money Rj has
`x`, so Shawn would have
`5+x` dollars, and Riley would have
`(5+x)-10` dollars. Altogether they have
`414` dollars, so you can create an equation.

`x+(5+x)+((5+x)-10)=414\\3x+0=414\\3x=414\\x=138`

Now that we know that
`x=138`, we can substitute x into each equation.

Rj has
`138` dollars, Shawn has
`143` dollars, and Riley has
`133` dollars.

Answer 2

Rj = $138

Shawn = $143

Riley = $133

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