Question

The pieces of a 500 piece puzzle are stored in three containers. 220 pieces are in the first container and 180 pieces are in the second container. What percentage of the pieces in the third container?

Answer 1

20 percent

Explanation:

Total number of pieces in a puzzle = 500

No. of pieces in first container = 220

No. of pieces in second container = 180

Let no. of pieces in the third container be x.

We get,

`220+180+x=500`

On adding 220 and 180, we get

`400+x=500`

On transposing 400 to RHS, we get

`x=500-400=100`

Percentage of pieces in the third container = (no. of pieces in third container/total no. of pieces in a puzzle)
`* 100`

`=(100)/(500)* 100=(10000)/(500)=20`

Therefore, percentage of pieces in the third container = 20 percent