Answer:
The percentage of the total pieces are sour patch kids = [tex]\frac{1}{3}[/tex] × 100
= 33.33 %
Step-by-step explanation:
( [tex]\frac{1}{2}[/tex]) x +( [tex]\frac{1}{4}[/tex]) x +( [tex]\frac{3}{4}[/tex]) x = 1
LCM = 4
{ [tex]\frac{2 + 1 + 3}{4}[/tex] } x = 1
[tex]\frac{6}{4}[/tex] × x = 1
[tex]\frac{3 x}{2}[/tex] = 1
3 x =2
∴ x = [tex]\frac{2}{3}[/tex]
The remaining piece are sour patch kids
so 1 -( [tex]\frac{2}{3}[/tex])
= [tex]\frac{1}{3}[/tex]
The percentage of the total pieces are sour patch kids = [tex]\frac{1}{3}[/tex] × 100
= 33.33 %
