Explanation

600 units are made in 9 days with 20 machines.

To find the number of units made per day, divide 600 by 9: 600 ÷ 9 = 66.67 units per day.

Since there are 20 machines, the number of units made per day per machine is: 66.67 ÷ 20 = 3.33 units per day per machine.

Now, if we have 18 machines and want to produce units for 12 days, the total units that can be made are: 3.33 units per day per machine × 18 machines × 12 days = 720 units.

So, with 18 machines, the soap factory can produce 720 units in 12 days.

Explanation

3.4% can be written as a fraction by dividing by 100 (since percent means "per hundred"):

3.4 ÷ 100 = 34 ÷ 1000

So, 3.4% is equal to the fraction 34/1000.

Explanation

Let the required number of men be $x$.

As number of men [M] will increase, the number of days [D] to finish a work will be less.
Hence, it is a case of inverse proportion.
$\Rightarrow MD=constant$
$\Rightarrow M_1{D}_1=M_2{D}_2$

[1 mark]

$\Rightarrow 15\times 12=x\times 6$
$\Rightarrow x=\frac{15\times 12}{6}=30$

Therefore, the required number of men to finish the work in 30 days is $30$ men.

Explanation

Let the two numbers be 5x and 6x, where x is their HCF.

Step 1: Calculate the LCM

The LCM of 5x and 6x is 30x.

Step 2: Find x

Given that the LCM is 480, we can set up the equation:

30x = 480

x = 480 / 30

x = 16

Explanation

Sh1-9-2023

Explanation

A firm announces a total of 63 posts. If the ratio of ordinary to officer staff must be kept as 6:3 , how many posts are there for the officers 

Post=63

ordinary: Office

     6      :    3

Sum of ratio = 6+3 =9

officer post =3/9*27

                   =21

Sh6-8-2023

Explanation

Ratio of boys to girls = 3:2

Total students = 60

Total parts = 3 + 2 = 5

Number of girls = (2/5) × 60 = 24

Explanation

40/20 = 2 

60/20 = 3

The 40:60 ratio simplified is 2:3 or 2/3 

Explanation

There are 24 female and 36 male athletes on the ground. what is the ratio of female to total athletes?

M = 36

F = 24

Total= 36+24=60

   F  :   T

  24: 60

   2 : 5

Explanation

Enlarge ratio = 7/5 

new length = 5*7/5=7 cm 

New width = 7*7/5=49/5=9.8 cm