Question

Rachel bought a corn dog and three candy bars for $5.75. Allison bought two corn and two candy bars for $7.50.

Answer 1

A corn dog: $2.75

A candy bar: $1.00

Explanation:

The missing question is: " What was the price of a corn dog and the price of a candy bar?"

Let be "d" the price in dollars of a corn dog and "b" the price in dollars of a candy bar.

Set up a System of equations:

`\left \{ {{d+3b=5.75} \atop {2d+2b=7.50}} \right.`

You can use the Elimination method to solve the System of equations. The steps are:

1. Multiiply the first equation by -2.

2. Add both equations.

3. Solve for "b".

Then:

`\left \{ {{-2d-6b=-11.5} \atop {2d+2b=7.50}} \right.\\...........................\\-4b=-4\\\\b=(-4)/(-4)\\\\b=1`

4. Substitute the value of "b" into any original equation and solve for "d" in order to find its value:

`d+3(1)=5.75\\\\d=5.75-3\\\\d=2.75`