Explanation

Explanation

Total students = 95  

Girls = 45  

So, Boys = 95 - 45 = 50

Ratio of boys to girls = 50 : 45

Simplify by dividing both by 5:

= 10 : 9

Explanation

- 9 - x = ?

- 25 - 9 = 16  

- 48 - 25 = 23  

- 81 - 48 = 33  

- 121 - 81 = 40  

Now look at the differences: 16, 23, 33, 40

Now check differences of differences:

- 23 - 16 = 7  

- 33 - 23 = 10  

- 40 - 33 = 7  

There’s a slightly alternating pattern in second differences: 7, 10, 7...

Assuming this pattern continues backward, before 16, we should subtract 10 (alternating) ⇒ 16 - 10 = 6

So:  

9 - x = 6 ⇒ x = 3

Explanation

Length : Width = 5 : 3  

Given width = 42 m

To find the factor:  

3 parts = 42  

1 part = 42 ÷ 3 = 14  

Length (5 parts) = 5 × 14 = 70 m

Explanation

Explanation

Given ratio of red : green : blue balls = 2 : 3 : 5  

Total parts = 2 + 3 + 5 = 10

Green balls = 3 parts

Percentage of green balls = (3 / 10) × 100 = 30% 

Explanation

Value = 1/3 of 24

 =   1/3 x 24

  =  8

Explanation

Given:  

- A is twice as good a workman as B  

→ A’s work rate = 2 parts, B’s = 1 part  

→ Combined rate = 3 parts  

- Together they finish the work in 18 days  

→ So total work = 3 × 18 = 54 units

Now, B alone does 1 part/day ⇒  

Time B alone will take = 54 / 1 = 54 days

Explanation

Since 9 is 1/3% of x:

9 = (1/3)/100 × x

9 = (1/300) × x

Multiply both sides by 300:

2700 = x

Explanation

- Initial sugar percentage = 10%  

- Initial solution weight = 8 kg  

- Sugar = 10% of 8 kg = 0.8 kg  

- Water = 8 kg - 0.8 kg = 7.2 kg

Now, 2 kg of water is added:  

- New total weight = 8 kg + 2 kg = 10 kg  

- Sugar still = 0.8 kg (unchanged)  

New sugar percentage = (0.8 / 10) × 100 = 8%

Answer: 8%