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The ratio of men to women on a bus is 4:5 Nobody gets off the bus. 18 more women get on. The ratio of men to women is now 1:2 How many men are on the bus?


m = men
w = women

equation 1
m/w = 4/5
w(m/w) = w(4/5)
m = 4/5w
5(m) = 5(4/5w)
5m = 4w
w = 5/4m
equation 2
m/(w + 18) = 1/2
(w + 18)(m/w + 18) = (w + 18)(1/2)
m = w/2 + 9
2m = w + 18
w = 2m - 18

Substitute equation in equation 2
w = 5/4m
5/4m = 2m -18
4(5/4m) = 4(2m-18)
5m = 8m - 72 multiply by -1
3m = 72
m = 24
solve for w
w = 5/4m
w = 5(24)/4
w = 5 * 6
w = 30 m = 24

Jun 05, 2017 | The Computers & Internet

2 Answers

What is 2 over 9 in adding fraction and 2 over six euqual too the whole answer


Find the lowest number the 9 and 6 will divide into (the lowest common denominator). In this case, it is 18 (9X2 and 6X3). Therefore 2/9 + 2/6 = 4/18 + 6/18 which totals 10/18---which, if both numbers are divided by 2, also equals 5/9.

Jan 20, 2015 | Office Equipment & Supplies

1 Answer

How do u solve this 13 2/9 - 4 5/6 = 8 7/18?


There is nothing to solve for: no unknown variable.
13 2/9-4 5/6=13-4 +(2/9-5/6)=9 +(4/18-15/18)=9 -3/18
Now write 9-3/18=8+18/18-11/18=8+(18-11/18=
8 7/18

Nov 17, 2014 | Office Equipment & Supplies

1 Answer

I have an XNX Universal Transmitter LEL detector Both green and orange lights are flashing. Thedisplay toggles between 0% LEL and F125 and has thrown an alarm circuit in my PLC. Can you describe the...


dear all
i work with fire and gas system ,and there are many xnx universal trensmitter in our system but we have problem with it so the gas detector send a nigative value to our system so i want to know more about this problem and its solution so any one has a solution to this problem and can help me to solve this problem you can conntect me on my email hamzacontrol20110gmail.com
regard

Aug 01, 2011 | Honeywell Heating & Cooling

1 Answer

The Rectangular pond at a zoo is 18 m long 12 m wide. The owner of the zoo wants to double the area of the pond by increasing the length and the width by the same amount. By how much should the length and...


The current area of the pond is 18m by 12 m, so, if A is the current area, A=18*12
Twice the area would be 2A and it is to be accomplished by adding the same amount, say x, to both dimensions. In symbols, that is:
2A = (18+x) * (12+x)
But we know A is 18*12, so
2(18*12) = (18+x) * (12+x) ; doing the arithmetic
432 = (18+x) * (12+x) ; doing the multiplication using FOIL (first, outside, inside, last)
432 = 18*12 + 18x +12x + x*x ; simplying
432 = 216 + 30x + x*x ; or
0 = -216 + 30x + x*x : or
x*x + 30x -216 = 0 ; using the quadratic equation (or factoring)
(x-6) (x+36) = 0
This has two solutions, 6 and (-36). Since a negative number doesn't make sense in this case, the answer is to add 6m to each side.

Check (18+6) (12+6) = ?
24 * 18 = ?
432 , which is indeed twice the original area of 216 ( = 18*12)

Sep 26, 2010 | Vivendi Excel@ Mathematics Study Skills...

1 Answer

The difference between the first and the second number is 0. Find the numbers such that the difference between thrice the first and twice the second is 18.


a-b=0 => a=b 3a-2b=18 => 3a-2a=18 (3-2)a=18 1a=18 a=18=b ........................
Answser: a=18 b=18
The first number is 18 and the second number is 18.

Sep 06, 2010 | Fellowes Computers & Internet

1 Answer

Will not heat up


Hi,
Here is a tip that will help you to figure out what is wrong with yourMicrowave Oven....

Microwave Oven Basic Troubleshooting Tips

heatman101

xnx

Apr 25, 2010 | GE Spacemaker JVM1640SJ Microwave Oven

1 Answer

Xnx


what is your question?

Jan 02, 2009 | 2003 Nissan Altima

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