SOLUTION: Please help, my mom, dad and brother are no help! 8 over w-10 = 16 over w-5 = z+8 over w

Question 511762: Please help, my mom, dad and brother are no help!
8 over w-10 = 16 over w-5 = z+8 over w
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
8 / (w-10) = 16 / ( w-5) = (z+8) / w
.
We know that if a = b and b = c, then a = c.
So you can do this problem in pieces.
.
8 / (w-10) = 16 / ( w-5)
.
cross multiply
.
8(w-5) = 16(w-10)
8w -40 = 16w -160
-8w = -120
.
w = 15
.
16 / ( w-5) = (z+8) / w
.
cross multiply
.
16w = (z+8)(w-5)
.
substitute w=15
.
16(15) = (z+8)(15-5)
.
240 = (z+8)*10
.
240 = 10z +80
10z = 240 - 80
.
z = 16
.
Now that we've found w & z, we can check to see if the three original equations are satisfied.
.
8 / (w-10) = 8/(15-10) = 8/5
.
16 / ( w-5) = 16 /(15-5) = 16/10 = 8/5
.
(z+8) / w = (16+8) / 15 = 24/15 = 8/5
.
Correct.
.
Answer: w=15 and z=16.
.
Done.
RELATED QUESTIONS
Please help me! They are fractions 3 over 2w+10 plus 5 over w+5 ADDING 3 (answered by checkley71)

Help please? Simplify the sum. w^2 +2w-24/w^2+w-30... (answered by jsmallt9)

Please help solve:... (answered by jim_thompson5910)

What is the simplified answer to 6 over w zsquared + 5 over w squared... (answered by stanbon)

I am having problems with these questions, Please help me out! 1) Solve 3 over w (answered by solver91311)

please solve for us 1 over W times 1 over... (answered by Ashley1516)

Please help! Each Saturday for 10 weeks, Doris performs the same exercise routine and... (answered by KMST)

Use z = a + bi and w = c + di to show that (z • w) bar = z bar • w bar. Note:... (answered by ikleyn,math_tutor2020)