SOLUTION: Please help!! The answer is 19.. I just don't know how to get it. I keep getting 18 as an answer. A construction company spent 26 hours on two jobs. One job took 5 more the

Question 309180: Please help!!
The answer is 19.. I just don't know how to get it. I keep getting 18 as an answer.
A construction company spent 26 hours on two jobs. One job took 5 more the twice the number of hours of the other. How long did the larger job take?

Thank you so much for your help!!
Rebecca
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A construction company spent 26 hours on two jobs.
One job took 5 more the twice the number of hours of the other.
How long did the larger job take?
:
Let x = time for larger job
Let y = time for the other job
:
"A construction company spent 26 hours on two jobs."
x + y = 26
y = (26-x); this form for substitution
:
"One job took 5 more the twice the number of hours of the other."
x = 2y + 5
:
How long did the larger job take?
Replace y with (26-x) in the above equation
x = 2(26-x) + 5
x = 52 - 2x + 5
x + 2x = 52 + 5
3x = 57
x =
x = 19 hrs
:
:
Check solution; y = 26-19 = 7 hrs
"One job took 5 more the twice the number of hours of the other."
19 = 2(7) + 5
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