Quesstion
its blurry
|dw:1455735974420:dw|
hmm....looks hard :/
@AlexandervonHumboldt2 @Astrophysics @dan815 a little help pls?
\[a+b+c=80\] is one equation
\[\frac{a-8,000}{b-12,000}=\frac{2}{3}\] is another so is \[\frac{b-12,000}{c-15,000}=\frac{3}{4}\] and finally \[\frac{a-8000}{c-15,000}=\frac{1}{2}\]
4b-48000=3c-45000 4b=3c-45000+48000 4b=3 c +3000 \[b=\frac{ 3 }{ 4 }c+750\] 2a-16000=c-15000 2a=c-15000+16000 2a=c+1000 \[a=\frac{ 1 }{ 2 }c+500 \] a+b+c=80,000 \[\frac{ 1 }{ 2 }c+500+\frac{ 3 }{ 4 }c+750+c=80,000\] multiply by 4 2c+2,000+3c+3000+4c=3,20,000 9c=3,20,000-5,000=3,15,000 c=35,000 \[a=\frac{ c }{ 2 }+500=\frac{ 35,000 }{ 2 }+500=17,500+500=18,000\] \[b=\frac{ 3 }{ 4 }c+750=\frac{ 3 }{ 4 }\times 35,000+750=26,250+750=27,000 \] now find the savings of each
we don't need savings so a,b,c are the reqd. incomes.
Join our real-time social learning platform and learn together with your friends!