Question

Alexander went into a movie theater and bought 3 candies and 2 pretzels, costing a total of $17.50. Andres went into the same movie theater and bought 9 candies and 4 pretzels, costing a total of $44. Determine the price of each candy and the price of each pretzel.

Pls help

Answer 1

suppose the price of each candy is $x

the price of each pretzel is $y

3x + 2y = 17.50 (1)

9x + 4y = 44 (2)

(1) * (2) 6x + 4y = 35 (3)

(2) - (3) 3x = 9 => x = 3

9 + 2y = 17.5 => y = 4.25

the price of each candy: $3

the price of each pretzel: $4.25