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

Answer:

The percentage of the total pieces are sour patch kids = $\frac{1}{3}$ × 100

   = 33.33 %

Step-by-step explanation:

( $\frac{1}{2}$) x +( $\frac{1}{4}$) x +( $\frac{3}{4}$)  x = 1

LCM = 4

{ $\frac{2 + 1 + 3}{4}$ } x = 1

$\frac{6}{4}$ × x = 1

$\frac{3 x}{2}$ = 1

3 x =2

∴ x = $\frac{2}{3}$

The remaining piece are sour patch kids

so  1 -( $\frac{2}{3}$)

    = $\frac{1}{3}$

The percentage of the total pieces are sour patch kids = $\frac{1}{3}$ × 100

   = 33.33 %