daniel and his friends ordered 3 large pizzas and 8 drinks for $90. martin and his friends ordered 1 large…

daniel and his friends ordered 3 large pizzas and 8 drinks for $90. martin and his friends ordered 1 large pizza and 4 drinks for $34. the pizzas all have the same price, and the drinks all have the same price. which system of equations represents the problem? 11x = 90 5y = 34 4x = 90 12y = 34 3x + 8y = 90 x + 4y = 34 8x + 3y = 90 x + 4y = 34 what is the price of each large pizza? $

daniel and his friends ordered 3 large pizzas and 8 drinks for $90. martin and his friends ordered 1 large pizza and 4 drinks for $34. the pizzas all have the same price, and the drinks all have the same price. which system of equations represents the problem? 11x = 90 5y = 34 4x = 90 12y = 34 3x + 8y = 90 x + 4y = 34 8x + 3y = 90 x + 4y = 34 what is the price of each large pizza? $

Answer

Explanation:

Step1: Set up equations

Let (x) be the price of a large pizza and (y) be the price of a drink. For Daniel: (3x + 8y=90) For Martin: (x + 4y = 34), which can be rewritten as (x=34 - 4y)

Step2: Substitute (x) into the first equation

Substitute (x = 34-4y) into (3x + 8y=90) [ \begin{align*} 3(34 - 4y)+8y&=90\ 102-12y + 8y&=90\ 102-4y&=90\ -4y&=90 - 102\ -4y&=-12\ y& = 3 \end{align*} ]

Step3: Find (x)

Substitute (y = 3) into (x=34 - 4y) [ \begin{align*} x&=34-4\times3\ x&=34 - 12\ x&=22 \end{align*} ]

Answer:

(22)