Respuesta :
Answer:
Price of hot dogs is $1.65 and price of juice drink is $1.15.
Step-by-step explanation:
Let the price of hot dogs be 'x'.
Also Let the price of Juice drinks be 'y'.
Now Given:
the Baxter family bought 6 hot dogs and 4 juice drinks for $14.50.
It means that 6 multiplied by price of hot dogs plus 4 multiplied by price of juice is equal to $14.50
framing in equation form we get;
[tex]6x+4y = 14.50 \ \ \ \ equation \ 1[/tex]
Also Given:
The Farley family bought 3 hot dogs and four juice drinks for 9.55.
It means that 3 multiplied by price of hot dogs plus 4 multiplied by price of juice is equal to $9.55.
framing in equation form we get;
[tex]3x+4y = 9.55 \ \ \ \ equation \ 2[/tex]
We need to find the price of hot dogs and juice drinks.
Now Subtracting equation 2 from equation 1 we get;
[tex](6x+4y)-(3x+4y)=14.50-9.55\\\\6x+4y-3x-4y= 4.95\\\\3x=4.95\\\\x=\frac{4.95}{3} = \$1.65[/tex]
Now Substituting the value of 'x' in equation 1 we get;
[tex]6x+4y=14.50\\\\6\times1.65+4y =14.50\\\\9.9+4y=14.50\\\\4y=14.50-9.9\\\\4y =4.6\\\\y=\frac{4.6}{4}=\$1.15[/tex]
Hence Price of hot dogs is $1.65 and price of juice drink is $1.15.
