Question

The kitchen has “$x$” Margherita pizzas and the number of pepperoni pizzas is 4 more than 3 times the number of Margherita pizzas. If each pizza costs $\$9$, find the total cost of the Margherita and pepperoni pizzas together.

• A. Both B and C
  
• B. $\$(36x+36)$
• C. $\$\left(9\right(3x+4)+9x)$
• D. $\$\left(9\right(3x+4\left)\right)$

Answer 1

The correct option is A Both B and C


Number of Margherita pizzas $=x$
Three times the number of Margherita pizzas $=3\times x$
$=3x$
Number of pepperoni pizzas is 4 more than 3 times the number of Margherita pizzas, that is, $3x+4$.
Number of pepperoni pizzas $=3x+4$
Cost of each pizza $=\$9$
Cost of all the pepperoni pizzas $=9\times (3x+4)\text{or}9(3x+4)$
$=9\times 3x+9\times 4$
$=\$(27x+36)$
Cost of all the Margherita pizzas $=\$(9\times x)\text{or}\$\left(9x\right)$
So, the total cost of the Margherita and pepperoni pizzas $=27x+36+9x$
$=\$(36x+36)$
Also, the total cost of the Margherita and pepperoni pizzas $=\$\left(9\right(3x+4)+9x)$

Option D is the correct choice.