If both Bob and Fred make $20 less a week than twice John's weekly salary, then
[tex]B+F+20 = 2*J[/tex],
where B, F, and J are Bob's, Fred's, and John's salaries, respectively.
We want to find F, Fred's salary. Plugging in Bob's and John's salaries, we obtain
[tex]140+F+20 = 2*110[/tex]
[tex]F+160 = 220[/tex]
[tex]F = 60[/tex]
So Fred makes $60 a week.
Answer:
Fred makes $60/week.
Step-by-step explanation:
Fred makes f dollars per week, john j dollars and bob b dollars.
Then b = $140/week; j = $110/week; and b + f = 2j - 20.
Substitute $140/week for b in this equation; also substitute $110/week for j. Then:
$140/week + f = 2($110) - $20. There's only one variable here, f, so we're ready to solve for f:
$140/week + f = $220/week - $20/week, or:
$140/week + f = $200/week
Subtract $140 from both sides, obtaining:
f = $60
Fred makes $60/week.
