Question

6. You are making costumes for a play. You have sewn 9 costumes. If you are 30% finished, how many total costumes are you sewing?​

Answer 1

Answer: 30 costumes

Explanation:

Let x be the total amount of costumes.

In order to get 30% , we need to divide 9 by the total amount of costumes (x), but first we need to change 30% to its multiplier:

30% ÷ 100 = 0.3 (multiplier).

`(9)/(x) =30`%

`(9)/(x) =0.3`

`x=(9)/(0.3)`

`x=30` costumes

Or if that is confusing:

`(9)/(x) =30`%

`(9)/(x) =0.3`

`(x)/(9) =(1)/(0.3)`

`x=9 *(1)/(0.3)`

`x=(9)/(0.3)`

`x=30` costumes

The above equations are exactly the same, they are just written differently.

We can now check if our answer is correct:

`(9)/(30) = 0.3\\0.3*100=30`%

Hope you understand!