The share of each child is 80, 60 and 40 respectively
Step-by-step explanation:
Step 1 :
Total quantity to be divided = 180
Ratio of each child's share is [tex]\frac{1}{3}[/tex] :[tex]\frac{1}{4}[/tex]: [tex]\frac{1}{6}[/tex]
Sum of the ratios = [tex]\frac{1}{3}[/tex] + [tex]\frac{1}{4}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{9}{12}[/tex]
Step 2 :
First child's share is [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{9}{12}[/tex] × 180 = [tex]\frac{1}{3}[/tex] × [tex]\frac{12}{9}[/tex] × 180 = 80
Second child's share is [tex]\frac{1}{4}[/tex] ÷ [tex]\frac{9}{12}[/tex] × 180 = [tex]\frac{1}{4}[/tex] × [tex]\frac{12}{9}[/tex] × 180 = 60
Third child's share is [tex]\frac{1}{6}[/tex] ÷ [tex]\frac{9}{12}[/tex] × 180 = [tex]\frac{1}{6}[/tex] × [tex]\frac{12}{9}[/tex] × 180 = 40
Step 3 :
Answer:
The share of each child is 80, 60 and 40 respectively
