RATIO & PROPORTION
Answer:
- 3.75
- 12
- 21
- 36
- 20
Step-by-step explanation:
1.) 3:_=12:16
First, apply the cross multiplication method. Then, do substitution by dividing 12 on both sides.
[tex]3: n = 12: 15 \\ \frac{3}{n} = \frac{12}{15} \\ 45 = 12n \\ \frac{45}{12} = \frac{ \cancel{12}n}{ \cancel{12}} \\ \bold{3.75 = n}[/tex]
Do the process on the other given.
2.) 2:4=6:_
[tex]2:4 = 3:n \\ \frac{2}{4} = \frac{6}{n} \\ 2n = 24 \\ \frac{ \cancel{2}n}{\cancel{2}} = \frac{24}{2} \\ \bold{n = 12 }[/tex]
3.) 7:14=_:42
[tex]7:14= n: 42\\ \frac{7}{14} = \frac{n}{42} \\ 294 = 14n \\ \frac{294}{14} = \frac{ \cancel{14}n}{\cancel{14}} \\ \bold{ 21 = n }[/tex]
4.) _:16=9:4
[tex]n :16= 9 : 4\\ \frac{n}{16} = \frac{9}{4} \\ 4n = 144 \\ \frac{ \cancel{4}n}{\cancel{4}} = \frac{144}{4} \\ \bold{ n = 36 }[/tex]
5.) 8:20_:50
[tex]8:20= n: 50\\ \frac{8}{20} = \frac{n}{50} \\ 400 = 20n \\ \frac{400}{20} = \frac{ \cancel{20}n}{\cancel{20}} \\ \bold{ 20 = n }[/tex]
