Answer:
Bridget got 30 sweets.
Step-by-step explanation:
Alex got [tex]\frac{1}{1+5+3} = \frac{1}{9}[/tex] of the total amount.
Stephen got [tex]\frac{5}{1+5+3} = \frac{5}{9}[/tex] of the total amount.
Bridget got [tex]\frac{5}{1+5+3} = \frac{3}{9}[/tex] of the total amount.
Alex got 10 sweets.
10 is (1/9) of the total amount, T. So
[tex]10 = \frac{T}{90}[/tex]
[tex]T = 90[/tex]
Bridget got 3/9 of the total amount.
3/9 of 90. So
[tex]\frac{3*90}{9} = 30[/tex]
Bridget got 30 sweets.