sophiasaieva
Answered

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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?

Sagot :

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.

Heather

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

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