Explanation

Boys = 14  

Girls = 18  

Ratio of girls to boys = girls : boys = 18 : 14  

Simplify by dividing both by 2:  

18 : 14 = 9 : 7

Last verified on 28-07-2026

Explanation

Given:  

5x/4 = 8y/3

Cross multiply:  

5x _ 3 = 8y _ 4  

15x = 32y

Now write as ratio x : y  

x / y = 32 / 15  

So x : y = 32 : 15

Last verified on 27-07-2026

Explanation

Let the two values be 4x and 5x.

Since 4 and 5 are co-prime:

LCM(4x,5x)=20x
20x=180
$$x=9$$

Smaller value:

4x=4×9=36

Last updated on 23-07-2026 by NA
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Explanation

 15: 7 :: x: 560

15/7  = x / 560 

15/7 x 560 

x= 15 x 80 

x =  1200

Last update 0n 21-07-2026 by NA

Explanation

Scale 1:50,000 means 1 cm = 50,000 cm.

6 cm = 6 × 50,000 cm = 300,000 cm = 3,000 m = 3 km.

Verified & Updated

Explanation

Explanation

54 = 3x × 2x × 1x

54 = 6x³

x³ = 54 / 6

x³ = 9

x = ∛9 ≈ 2.08

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Explanation

Total ratio = 3 + 2 + 1 = 6

One part = 54 ÷ 6 = 9

Largest number = 3 × 9 = 27

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Explanation

• A ratio is the comparison of two quantities.
• It shows how much of one quantity exists compared to another.
• Ratios are usually written as a:b or a/b.
• Both quantities should be expressed in the same units.
• Ratios are widely used in mathematics, science, and everyday life.

Last verified on 12-07-2026

Explanation

Initial ratio A : B = 3 : 4  

Let A = 3x, B = 4x  

A is increased by 20%  

New A = 3x + 20% of 3x = 3x + 0.6x = 3.6x  

B is increased by 10%  

New B = 4x + 10% of 4x = 4x + 0.4x = 4.4x  

New ratio = 3.6x : 4.4x = 36 : 44  

Divide by 4:  

36 / 4 : 44 / 4 = 9 : 11

Last verified on 09-07-2026