Answer:
David share is 36 sweets
Step-by-step explanation:
let Lucy share be x
let David share be y
Lucy has 27 more
x=y+27
total sweet is x+y
y+27 +y= 2y+27
total ratio = 4+7=11
David share=
[tex]y = \frac{4}{11} \times (2y + 27)[/tex]
[tex]11y = 4(2y + 27)[/tex]
[tex]11y = 8y + 108[/tex]
[tex]11 y- 8y = 108[/tex]
[tex]3y = 108[/tex]
y=108/3= 36
