SOLUTION: To make ends meet, Ms. Farnsby works three jobs. Her total income last year was $48,000. Her income from teaching was just $6,000 more than her income from house painting. Royaltie

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: To make ends meet, Ms. Farnsby works three jobs. Her total income last year was $48,000. Her income from teaching was just $6,000 more than her income from house painting. Royaltie      Log On

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Question 130899This question is from textbook ALGEBRA FOR COLLEGE STUDENTS MARK DUGOPOLSKI
: To make ends meet, Ms. Farnsby works three jobs. Her total income last year was $48,000. Her income from teaching was just $6,000 more than her income from house painting. Royalties from her text book sales were one-seventh of the total money she recieved from teaching and house painting. HOw much did she make from each source last year?This question is from textbook ALGEBRA FOR COLLEGE STUDENTS MARK DUGOPOLSKI

Answer by edjones(7569) About Me  (Show Source):
You can put this solution on YOUR website!
Let t=income from teaching, p=income from painting, b=income from book sales.
t=p+6000
b=(t+p)/7
b+t+p=48000
(t+p)/7 +p+6000+p=48000 substitute
(p+6000+p)/7 + p+6000 + p = 48000 more substitution
(2p+6000)/7 + p+6000 + p = 48000
(2p+6000) + 7(p+6000) + 7p = 7*48000 multiply each side by 7 to eliminate the fraction.
2p+6000+7p+42000+7p=336000
16p+48000=336000
16p=336000-48000
16p=288000
16p/16=288000/16
p=$18,000.
.
t=18000+6000
t=$24,000.
.
b=(24000+18000)/7
=42000/7
=$6000.
.
Ed