SOLUTION: Sue worked 7 hours more than twice the number of hours worked by Jim. The total number of hours worked by both of the is 49. Find the number of hours worked by each. How many

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Question 54281: Sue worked 7 hours more than twice the number of hours worked by Jim. The total number of hours worked by both of the is 49. Find the number of hours worked by each.
How many ounces of a 15% alcohol solution must be mixed with 4 ounces of a 20% alcohol solution to make a 17% alcohol solution?
How much candy costing $2.50 per pound must be mixed with candy costing $3.50 per pound to create 100 pounds of mixed candy selling at $2.90?
You inherit $16,000 and invest in two stocks that pay 6% and 8% annual interest. If the total interest is $1180, how much is invested at each rate?
The sum of two consecutive odd integers is 40 Find the integers
Train A leaves Station A traveling at 40 mph at the same time that Train B leaves Station B at 60 mph. If Station A and Station B are 325 miles apart and the trains are traveling toward each other, how many hours is it before the two trains meet? How far are they from Station B when they meet?
Please, If you could show me how to identify the variables, write an equation and solve the equation

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Sue worked 7 hours more than twice the number of hours worked by Jim. The total number of hours worked by both of the is 49. Find the number of hours worked by each.
Jim's hours = h
Sue's hours = 2h + 7
h + 2h + 7 = 49
3h = 42
h = 14
Jim's hours = h = 14 hours
Sue's hours = 2(14) + 7 = 35 hours
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How many ounces of a 15% alcohol solution must be mixed with 4 ounces of a 20% alcohol solution to make a 17% alcohol solution?
%28.15x+%2B+.2%284%29%29%2F%28x+%2B+4%29+=+0.17
.15x+%2B+.8+=+.17x+%2B+.68
.12+=+.02x
6+=+x You should add 6 ounces of 15% alcohol solution.
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How much candy costing $2.50 per pound must be mixed with candy costing $3.50 per pound to create 100 pounds of mixed candy selling at $2.90?
%282.5%28x%29+%2B+3.5%28100+-+x%29%29%2F100+=+2.9
2.5x+%2B+350+-+3.5x+=+290
-x+=+-60
x+=+60 60 pounds should be $2.50 and 40 pounds should be $3.50
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You inherit $16,000 and invest in two stocks that pay 6% and 8% annual interest. If the total interest is $1180, how much is invested at each rate?
.06(x) + .08(16000 - x) = 1180
.06x + 1280 - .08x = 1180
-.02x = -100
x = 5000
$5000 should be in 6% and $11,000 should be in 8%
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The sum of two consecutive odd integers is 40 Find the integers.
first integer = i
second integer = i + 2
i + i + 2 = 40
2i = 38
i = 19
i + 2 = 21
19 and 21
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Train A leaves Station A traveling at 40 mph at the same time that Train B leaves Station B at 60 mph. If Station A and Station B are 325 miles apart and the trains are traveling toward each other, how many hours is it before the two trains meet? How far are they from Station B when they meet?
Where t is the time.
Distance = Rate * Time
Distance of Train A + Distance of Train B = 325
40t + 60t = 325
100t = 325
t = 3.25 hours
Train B's Distance = 3.25(60) = 195 miles from Stations B