Question

Sophie has $y$ number of plates in her kitchen. Nick has $5$ times the number of plates that Sophie has. Dennis has $3$ plates more than double the number of plates that Nick has. Which among the following expression represents the number of plates that Dennis has?

• A. $10y+3$
• B. $3y+10$
• C. $5y$
• D. $3+5y$

Answer 1

The correct option is A $10y+3$

According to question,
Sophie has $y$ number of plates in her kitchen.
Number of plates available with Sophie $=y$

Nick has $5$ times the number of plates that Sophie has.
Number of plates available with Nick $=5\times y=5y$

Dennis has $3$ plates more than double the number of plates that Nick has.
Number of plates available with Dennis $=3+2\times \left(5y\right)$
$=3+10y$
$=10y+3$

The number of plates available with Dennis would be $10y+3$. Therefore, option (a.) is the correct answer.