Compound Proportion among three quantities Machines, Sweaters, and Days (WP No.8: Compound Proportion)

15 machines prepare 360 sweaters in 6 days. 3 machines get out of order. How many sweaters can be prepared in 10 days by the remaining machines?

Solution: 

We are Given: 

Total Machine = 15

Machine get out order = 3

Remaining machine = 15 -3 = 12

As the machine decrease, the sweaters production will decrease. so, It is a direct proportion. 

As the number of days increase, the sweaters production will also increases. It is also a direct proportion. 

Let the numbers of sweaters be ｘ then,

Here the equation will be 

`\frac{ｘ}{360}`  = `\frac{12}{15}` ｘ `\frac{10}{6}` 

Or

ｘ = `\frac{12}{15}` ｘ `\frac{10}{6}`     ｘ 360 Sweaters

by simplifying we get

ｘ =  480 Sweaters.

Thus, 480 Sweaters will be prepared.

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