Question

Please show work! 99 points plus brainliest!
If 6a=5b, what are the following ratios?
a) a:b and
b) b:a and
c) 2a:7b and
d) \frac{a+b}{b} And
e) \frac{a+b}{5a} And
f) \frac{3a+3b}{a+b} And
Thanks so much!!!

Answer 1

a) 6a=5b so a=5/6*b a/b=5/6
b) 6a=5b so 6/5*a=b b/a=6/5
c) a/b=5/6 so (a/b)*(2/7)=2a/7b=(2/7)(5/6)=(5/21)
d) 6a=5b so b=6a/5 Thus (a+b)/b=(a+6a/5)/(6a/5)=(11a/5)/(6a/5)=11/6
e) 6a=5b so a=5b/6 Thus (a+b)/(5a)=(5b/6+b)/(5*5b/6)=(11b/6)/(25b/6)=11/25
f) (3a+3b)/(a+b)=3=3/1

Note, I wasn't quite sure what you meant by \frac

Answer 2

I know E and F

e) 6a=5b so a=5b/6 Thus (a+b)/(5a)=(5b/6+b)/(5*5b/6)=(11b/6)/(25/6)=11/25
f) (3a+3b)/(a+b)=3=3/1