Answer:
The number of sweets did Henry have is 72
Step-by-step explanation:
Given as :
The ratio of Sarah to Henry share sweets = 5 : 6
So, Let The Sarah share = 5 x
And The Henry share = 6 x
Now, again Sarah eats 24 of her sweets , then new ratio becomes 1:2
∴ [tex]\frac{5 x - 24}{6 x}[/tex] = [tex]\frac{1}{2}[/tex]
Or, 2 × (5 x - 24 ) = 1 × 6 x
Or, 10 x - 48 = 6 x
Or, 10 x - 6 x = 48
So, 4 x = 48
∴ x = [tex]\frac{48}{4}[/tex] = 12
So, the number of sweets did Henry have = 6 x = 6 × 12 = 72
The number of sweets did Sarah have = 5 x = 5 × 12 = 60
Hence The number of sweets did Henry have is 72 Answer
