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.

What was the total amount spent by the first teacher on juice boxes and bottled water?

• $19.92

• $20.00

• $18.50

• $15.76

How many juice boxes did the second teacher purchase?

• 26

• 32

• 14

• 18

What is the purpose of writing a system of equations in this problem?

• To compare the prices of different stores

• To calculate the total amount spent

• To determine the cost of each item

• To find the total number of items bought

Why are Kara's suggested prices for the juice boxes and bottled water incorrect?

• They are too low

• They are too high

• They satisfy only one equation

• They satisfy both equations

What method is used to solve the system of equations in this problem?

• Trial and Error

• Elimination

• Substitution

• Graphing

What is the actual cost of a juice box according to the solution?

• $0.33

• $0.24

• $0.52

• $0.68

What is the actual cost of a bottle of water according to the solution?

• $0.24

• $0.33

• $0.52

• $0.68