Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

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Reversing the digits of Gyver's age gives Ed's age with a difference of 18 years. If the sum of the digits of each age is 6, how old is Gyver?
Thanks a bunch for answering this :

Based on info, Gyver is YOUNGER than Ed

Let the tens and units digits of Gyver’s age be T and U, respectively
Then: 10T + U = 10U + T – 18 ------ 10T – T + U – 10U = - 18 ----- 9T – 9U = - 18 ---- 9(T – U) = 9(- 2)
T – U = - 2 ------ eq (i)
Also, T + U = 6 ----- eq (ii)
2T = 4 ------ Adding eqs (i) & (ii)
T, or tens digit of Gyver’s age = , or 2

2 – U = - 2 ------ Substituting 2 for T in eq (i)
- U = - 2 – 2
- U = - 4
U, or units digit of Gyver’s age = , or 4

Therefore, Gyver is years-old

You can do the check!!

Send comments and “thank-yous” to “D” at MathMadEzy@aol.com

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The selling price of the mixture is $21.60 / kg

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grams of sugar in the cereal
Let = the fraction of sugar in resulting mixture
-------------




44 percent of the final mixture is sugar

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$311.25 was earned
If you're not allowed to use decimals,
you have to do something like this:






OK

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Call the year 1990
Then, 1994 =
and, 1998 =
-------------------
Now you have 2 points on a straight line:
( 4, 3550 )
( 8, 3270 )
Plug these points into the general point-slope formula






-------------------
In 2007,



-------------
check:
( 8,3270 )




OK
You can check the other point

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I have been trying to turn this word problem into a linear equation for a week now with no success. Can you help?
A downtown employee is looking for the best option for parking a car during a 5 day work week. Garage A offers unlimited parking at a flat rate $150.00 per month. Garage B offers an hourly rate of $5.00 for parking. Which option is best for the employee on a monthly basis?
The employee is parking 160 hours per month. This is a word problem that I had to come up with on my own make 2 linear equations out of it and then graph it and show where they intercept.
Any help would be appreciated. Thank you!

Garage A's charge is $150

Garage B's charge = 5H, with H being amount of hours of parking

5H < 150

H, or hours that'll make garage B's cost less than garage A's should be < , or <

This means that if a person needs to park for less than 30 hours per month, then garage B will be cheaper.

At 30 hours per month both costs are equal.

Parking for 160 hours DEFINITELY makes garage A the cheaper of the two. You can do the math to see why this is so.

You can graph garage A's linear equation as A(x) = 0x + 150, with x being the amount of monthly-hours of parking

Garage B's equation: B(x) = 5x, with x being the amount of hours of monthly-hours of parking.

You'll then see where the two equations intersect, which is the point where the two costs are equal.

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b+g=1176
g=b+50
then b+(b+50)=1176
and so
2b=1126
b=563


:)

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Let me try to LEAD you to the answer without finally answering this for you.

The given equations of the system(?):



The second equation,


And perform multiplication of both sides by -1,
.

Now, your system of equations really is this:
-----------------

and

----------------

What does that tell you?

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Convert wall dimensions to centimeters.
800 x 500 x 200
Multiply together
= 80,000,000 cm^3
Multiply brick dimensions
50 x 30 x 20
= 30,000
Divide 80,000,000/30,000
= 266.6 bricks
Hope this helps
:-)

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If hiring a taxi costs Rs. 7/km and
the total cost is Rs 595 then the
number of kms.travelled will be:
595/7 = 85 kms

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Please re-post to include your question :)

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A local computer center charges nonmembers $5 per
session to use the media center. If you pay a membership fee of $25, you pay
only $3 per session. Write an equation that can help you decide whether to
become a member. Then solve the equation and interpret the solution.

Let N = the number of sessions you will need.

If you don't become a member then your total cost for
the N sessions will be $5N

If you do become a member then your total cost for the
N sessions will be $25 + $3N

Now we set those equal to each other to find the value
of N when they will cost the same.

      5N = 25 + 3N

That's the equation.  We solve it

      2N = 25
       N = 12.5

That's halfway between two integers, 12 and 13.

Interpretation.  If you will need 12 or fewer sessions, then
you should not become a member.  But if you will need 13 or
more sessions, then you should become a member.

Edwin

She bought x pounds of chocolates at $3 a pound, so those x pounds of chocolates cost her $3x dollars.

She bought 15-x pounds of chocolates at $2 a pound, so those 15-x pounds of chocolates cost her $2(15-x) dollars.

 


           3x + 2(15 - x) = 40
             3x + 30 - 2x = 40
                   x + 30 = 40
                        x = 10 

Edwin