Bunuel
At Alex’s Burger Palace, customers can purchase 2 veggie burgers and 2 shakes for $6.50. Customers can also purchase 2 veggie burgers and 2 beef burgers for $7.00. Which of the following could be accurate assignments of price to food item?
I. veggie burger: $2.25, shake: $1.00
II. veggie burger: $2.00, shake: $1.25
III. beef burger: $1.50, shake: $1.25
A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, and III
Given:
1. At Alex’s Burger Palace, customers can purchase 2 veggie burgers (v) and 2 shakes (s) for $6.50.
2. Customers can also purchase 2 veggie burgers (v) and 2 beef burgers (b) for $7.00.
Asked: Which of the following could be accurate assignments of price to food item?
2v + 2s = $6.5
2v + 2b = $7.0
2(b-s) = $0.5
b - s = $0.25
I. veggie burger: $2.25, shake: $1.00; 2v + 2s = $4.5 + $2 = $6.5; YES
II. veggie burger: $2.00, shake: $1.25; 2v + 2s = $4 + $2.5 = $6.5; YES
III. beef burger: $1.50, shake: $1.25; b-s = $0.25; YES
IMO E