SOLUTION: Roger, Sue, and Tim have $155 among them. Roger has $5 more than Sue and Tim together. If Sue gives Time $5 he will have twice as much as she does. How much does each have?

Question 541266: Roger, Sue, and Tim have $155 among them. Roger has $5 more than Sue and Tim together. If Sue gives Time $5 he will have twice as much as she does. How much does each have?
Answer by jpg7n16(66) (Show Source): You can put this solution on YOUR website!
Here you are solving for 3 different variables. I'd suggest solving for 1 variable and substituting back in to the problem. Let's start with turning the words into equations:
.
"Roger, Sue, and Tim have $155 among them."
1)
"Roger has $5 more than Sue and Tim together."
2)
"If Sue gives Time $5 he will have twice as much as she does."
3)
"How much does each have?"
Now it's time to solve.
.
The way to substitute, is to say either r= or s= or t= something, and replace a variable with that "something" in another problem. Fortunately, equation 2 already has , so that's where we'll start. Plug that back into #1 in place of R.
1) becomes

And we can't really reduce further.
.
Let's also make #3 easier to read.
3)

.
Now we know what T "equals" so we can plug that into our simplifed #1 and solve for S.
1) becomes

.
Now that we know what S equals, we can easily solve for R and T. Plug 30 in for S in the following equation.
3)
Once you figure out what T is, you can solve
2)
and you can check your answer with
1)
Hope this helps!
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