Activity 1: Find the missing term of the following proportions. Show your solution.
1. 3:5 = N:50
N=________
Solution:_________
2.64:N=8:9
N=________
solution:_______
3. 2/9= N/81
N=_________
solution________
4.5:12=35:N
N=__________
solution:________
5. 2/N =4/18
N=__________
solution:________
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Answer:
1. n = 30
2. n = 72
3. n = 18
4. n = 84
5. n = 9
Step-by-step explanation:
1). 3 : 5 = n : 50
3/5 = n/50
Multiplying both sides by 50 cancels on the right
50 × (3/5) = (n/50) × 50
50 × (3/5) = n
Then solving for n
n = 50 × (3/5)
n = 30
Therefore
3 : 5 = 30 : 50
2). 64 : n = 8 : 9
n/64 = 9/8
Multiplying both sides by 64 cancels on the left
64 × (n/64) = (9/8) × 64
n = (9/8) × 64
Then solving for n
n = 64 × (9/8)
n = 72
Therefore
64 : 72 = 8 : 9
3). 2 : 9 = n : 81
2/9 = n/81
Multiplying both sides by 81 cancels on the right
81 × (2/9) = (n/81) × 81
81 × (2/9) = n
Then solving for n
n = 81 × (2/9)
n = 18
Therefore
2 : 9 = 18 : 81
4). 5 : 12 = 35 : n
12/5 = n/35
Multiplying both sides by 35 cancels on the right
35 × (12/5) = (n/35) × 35
35 × (12/5) = n
Then solving for n
n = 35 × (12/5)
n = 84
Therefore
5 : 12 = 35 : 84
5). 2 : n = 4 : 18
n/2 = 18/4
Multiplying both sides by 2 cancels on the left
2 × (n/2) = (18/4) × 2
n = (18/4) × 2
Then solving for n
n = 2 × (18/4)
n = 9
Therefore
2 : 9 = 4 : 18