Question

Three families bought food at a baseball game. The Davis family spent $16.50 on 3 hotdogs, 2 drinks, and 1 pretzel. The Ruiz family spent $26 on 4 hotdogs, 4 drinks, and 2 pretzels. The Cho family spent $13.75 on 2 hotdogs, 1 drink, and 3 pretzels.

Answer 1

The price of one pretzel is $1.50.

Step-by-step explanation:

The price of one pretzel is $1.50.

Calculation of the price:

Let the price of a hot dog = x

Let the price of a drink = y

Let the price of a pretzel = z

So,

The equations are

3x + 2y + z = $16.50 .....(1)

4x + 4y + 2z = $26..........(2)

2x + y + 3z = $13.75........(3)

Now

Here we Multiplying (3) with 2 and subtracting (1) from it:

So, it gives x + 5z = 11 ......(4)

Now

Multiplying (3) with 4 and subtracting (2) from it:

So, 4x + 10z = 29...(5)

Now

Multiplying (4) with 4 and subtracting (5) from it:

So, 10z = 15

x = 1.5

Therefore, The price of one pretzel is $1.50.

Complete question:

Three families bought food at a baseball game. The Davis family spent $16.50 on 3 hot dogs, 2 drinks, and 1 pretzel. The Ruiz family spent $26 on 4 hot dogs, 4 drinks, and 2 pretzels. the Cho family spent $13.75 on 2 hot dogs, 1 drink, and 3 pretzels. What is the price of one pretzel?