Question

At the country fair, the Baxter family bought 6 hot dogs and 4 juice drinks for $14.50. The Farley family bought 3 hot dogs and four juice drinks for 9.55. Find the price of hot dog and the price of a juice drink

Answer 1

Price of hot dogs is $1.65 and price of juice drink is $1.15.

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;

`6x+4y = 14.50 \ \ \ \ equation \ 1`

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;

`3x+4y = 9.55 \ \ \ \ equation \ 2`

We need to find the price of hot dogs and juice drinks.

Now Subtracting equation 2 from equation 1 we get;

`(6x+4y)-(3x+4y)=14.50-9.55\\\\6x+4y-3x-4y= 4.95\\\\3x=4.95\\\\x=(4.95)/(3) = \$1.65`

Now Substituting the value of 'x' in equation 1 we get;

`6x+4y=14.50\\\\6*1.65+4y =14.50\\\\9.9+4y=14.50\\\\4y=14.50-9.9\\\\4y =4.6\\\\y=(4.6)/(4)=\$1.15`

Hence Price of hot dogs is $1.65 and price of juice drink is $1.15.