Solve for w in this problem...?

Question

w + 7/12w + 7/16w + 7/20w = 180

solve for w

Answer 1

I assume you mean that the equation is

w +7/12(w) + 7/16(w) +7/20 (w) = 180

or, w[ 1 +7/12+7/16+7/20] = 180

or, w [ 240/240 + 140/240 + 105/240 + 84/240] = 180

or, w [569/240] = 180

or, w = (180 X 240)/569 = 75.922671353251

Hope this come to your help :))

Answer 2

first find the lcm of 12,16,and 20 = 240 and multiply each term by it:

240(w + 7/12w + 7/16w + 7/20w = 180)

240w + 140w + 105w +84w = 43200

569w=43200

w=7

5.92

Answer 3

find the a multiple of 12, 16, and 20 which is 240 and put all fractions into this form.

240w/240 + 140w/240 + 105w/240 + 84w/240 = 180

add all the w's

569w/240 = 180

multiply by 240

569w = 43200

divide by 569

w = 75.922671353251318101933216168717

so w is about 76

Answer 4

The 1st step is to factor out the w on the left.

This leaves w(1 + 7/12 + 7/16 + 7/20) = 180.

I believe the least common denominator is 240.

This leaves you with w(240/240 + 140/240 + 105/240 + 84/240) = 180.

Add those up and divide the whole equation by the fraction in parenthesis and you have solved for w.  

w = 43200/569

Answer 5

Then 180/1+7/12+7/16+7/20=w=2.370833333