Answer :
Given:
Kendra charges $8.00 for two puzzles and a piece of candy.
She charges $4.50 for one puzzle and a piece of candy.
To find:
The cost of each puzzle.
Solution:
Let x be the cost of a puzzle and y be the cost of piece of candy.
Kendra charges $8.00 for two puzzles and a piece of candy.
[tex]2x+y=8[/tex] ...(i)
She charges $4.50 for one puzzle and a piece of candy.
[tex]x+y=4.50[/tex] ...(ii)
Subtracting (ii) from (i), we get
[tex]2x+y-(x+y)=8-4.50[/tex]
[tex]2x+y-x-y=3.50[/tex]
[tex]x=3.50[/tex]
The cost of puzzle is $3.50. Therefore, the correct option is A.