Regents Exam: Algebra I August 2016 (Problem 37 of 37)

The video tutorial explains how two teachers purchased drinks and set up a system of equations to determine the cost of juice boxes and bottled water. Kara's suggested prices are proven incorrect through contradiction. The correct prices are found using the elimination method, revealing the true cost of each item.

Describe how the teacher proved that the prices of $0.52 for juice boxes and $0.33 for bottles of water were not possible.

What steps were taken to ensure that the coefficients in the equations were additive inverses for elimination?

What were the final prices determined for the juice box and the bottled water?