Hello!
The answer is:
The expression for the number of sweets that Sara and Tim have now, are:
[tex]Sara=(17-x)Sweets\\\\Tim=\frac{(24+x)Sweets}{2}[/tex]
Why?
To write the expressions for the number of sweets that Sara and Tim have now, we need to follow the next steps:
Sara starts with 24 sweets and Tim starts with 24 sweets
[tex]Sara=24 Sweets\\Tim=24 Sweets[/tex]
Then, Sara gives Tim x Sweets
[tex]Sara=(24-x)Sweets\\Tim=(24+x)Sweets[/tex]
Then. Sara eats 7 of her Sweets
[tex]Sara=(24-x-7) Sweets\\Sara=(17-x )Sweets\\Tim=(24+x) Sweets[/tex]
Then, Tim eats half of his sweets
[tex]Sara=(17-x)Sweets\\\\Tim=\frac{(24+x)Sweets}{2}[/tex]
So, the expression for the number of sweets that Sara and Tim have now, are:
[tex]Sara=(17-x) Sweets\\\\Tim=\frac{(24+x)Sweets}{2}[/tex]
Have a nice day!
