Question

Of the candy, 1/2 are skittles. 1/4 of the remaining pieces are Starbursts and 3/4 of the rest are life savers. The remaining pieces are sour patch kids. What percent of the total pieces are Sour patch kids?

Answer 1

The percentage of the total pieces are sour patch kids =
`(1)/(3)` × 100

= 33.33 %

Explanation:

(
`(1)/(2)`) x +(
`(1)/(4)`) x +(
`(3)/(4)`) x = 1

LCM = 4

{
`(2 + 1 + 3)/(4)` } x = 1

`(6)/(4)` × x = 1

`(3 x)/(2)` = 1

3 x =2

∴ x =
`(2)/(3)`

The remaining piece are sour patch kids

so 1 -(
`(2)/(3)`)

=
`(1)/(3)`

The percentage of the total pieces are sour patch kids =
`(1)/(3)` × 100

= 33.33 %