Answer:
RATIO AND PROPORTION
Find the missing term of the following proportions, show your solutions.
1. 3: 5 = N : 50
\sf{\frac{3}{5} = \frac{n}{50}}
5
3
=
50
n
\sf{3 (50) = 5 (n)}3(50)=5(n)
\sf{150 = 5n}150=5n
\sf{\frac{150}{5} = \frac{5n}{5}}
5
150
=
5
5n
\boxed{\sf{30 = n}}
30=n
====================================
2. 64: N = 8 : 9
\sf{\frac{64}{n} = \frac{8}{9}}
n
64
=
9
8
\sf{64 (9) = 8 (n)}64(9)=8(n)
\sf{576 = 8n}576=8n
\sf{\frac{576}{8} = \frac{8n}{8}}
8
576
=
8
8n
\boxed{\sf{72 = n}}
72=n
====================================
3.
\sf{\frac{2}{3} = \frac{N}{81}}
3
2
=
81
N
\sf{2 (81) = 3 (n)}2(81)=3(n)
\sf{162 = 3n}162=3n
\sf{\frac{162}{3} = \frac{3n}{3}}
3
162
=
3
3n
\boxed{\sf{54 = n}}
54=n
====================================
4. 5 : 12 = 35 : N
Solution:
\sf{\frac{5}{12} = \frac{35}{n}}
12
5
=
n
35
\sf{5 (n) = 12 (35)}5(n)=12(35)
\sf{5n = 420}5n=420
\sf{\frac{5n}{5} = \frac{420}{5}}
5
5n
=
5
420
\boxed{\sf{n = 84}}
n=84
====================================
5. 2: N= 4: 18
Solution
\sf{\frac{2}{n} = \frac{4}{18}}
n
2
=
18
4
\sf{2 (18) = n (4)}2(18)=n(4)
\sf{36 = 4n}36=4n
\sf{\frac{36}{4} = \frac{4n}{4}}
4
36
=
4
4n
\boxed{\sf{9 = n}}
9=n
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