Given:
There are given that a funnel cake costs four times the price of popcorn.
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:;
[tex]2x+3y=22...(1)[/tex]Now,
Funnel cake cost 4 times the price of popcorn:
So,
[tex]y=4x[/tex]Then,
Put the value of y into the equation(1):
[tex]\begin{gathered} \begin{equation*} 2x+3y=22 \end{equation*} \\ 2x+3(4x)=22 \\ 2x+12x=22 \\ 14x=22 \\ x=\frac{22}{14} \\ x=1.6 \end{gathered}[/tex]Then,
Put the value of x into the price of funnel:
So,
[tex]\begin{gathered} 4x=4\times1.6 \\ =6.4 \\ =6 \end{gathered}[/tex]Final answer:
Hence, the total funnel cake is 6.
