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