Question

11. Marcos and Chucky were going to buy pizza's for their birthday parties. Marcos reallylikes pepperoni and Chucky really like cheese pizzas (get it, "Chucky Cheese"), but theyboth know that other people like Pepperoni and Cheese at their parties. Marcos buys 6pepperoni pizzas and 2 cheese pizzas. Chucky buys 2 pepperoni pizzas and 6 cheesepizzas. Marcos spends $98 and Chucky spends $86. How much does it cost for onepepperoni pizza? Please help ASAP!!! This is due in 10 mins!!

Answer 1

We have 2 equations with 2 unknowns.

Marcos buys 6 pepperoni (P) and 2 cheese pizzas (C) and spends $98, so we can write:

`6P+2C=98`

P: price of pepperoni pizza

C: price of cheese pizza

Chucky buys 2 pepperoni and 6 cheese pizzas and spends $86. Then we can write:

`2P+6C=86`

To find P, the price of the pepperoni pizza, we can substitute the first equation in the second equation as:

First equation:

`\begin{gathered} 6P+2C=98 \\ 2C=98-6P \\ C=(98-6P)/(2) \\ C=49-3P \end{gathered}`

Second equation:

`\begin{gathered} 2P+6C=86 \\ 2P+6(49-3P)=86 \\ 2P+6\cdot49-6\cdot3P=86 \\ 2P+294-18P=86 \\ -16P=86-294 \\ -16P=-208 \\ P=(-208)/(-16) \\ P=13 \end{gathered}`

The price of the pepperoni pizza is $13.