Question

3. Shopping at Savers Mart, Lisa buys her children four candy bars and three pops for

$10. She returns the next day and buys three candy bars and five pops for $13. What
is the price of each candy bar and each pop?​

Answer 1

Candy bar: $1/each

Pop: $2/each

Explanation:

4x+3y=10

3x+5y=13

Where x = number of candy bars and y = number of pops.

Create an augmented matrix like so

`\left[\begin{array}{ccc}4&3&10\\3&5&13\end{array}\right]`

Using Gaussian Elimination reduce the matrix to reduced row echelon form.

`\left[\begin{array}{ccc}1&0&1\\0&1&2\end{array}\right]`

As you can see x = 1, and y = 2.

Thus each candy bar is $1 and each pop is $2.