Question

At the Carnival, a funnel cake costs four times the price of a popcorn. Victor purchased 2 funnel cakes and 3popcorns for $22. How much is a funnel cake?

Answer 1

Given:

There are given that a funnel cake costs four times the price of popcorn.

Step-by-step explanation:

Suppose the price of the funnel cake is x and the price of the popcorn is y.

So,

According to the question:

Victor purchased 2 funnel cakes and 3 popcorns for $22

Then,

The equation will be:;

`2x+3y=22...(1)`

Now,

Funnel cake cost 4 times the price of popcorn:

So,

`y=4x`

Then,

Put the value of y into the equation(1):

`\begin{gathered} \begin{equation*} 2x+3y=22 \end{equation*} \\ 2x+3(4x)=22 \\ 2x+12x=22 \\ 14x=22 \\ x=(22)/(14) \\ x=1.6 \end{gathered}`

Then,

Put the value of x into the price of funnel:

So,

`\begin{gathered} 4x=4*1.6 \\ =6.4 \\ =6 \end{gathered}`

Final answer:

Hence, the total funnel cake is 6.