Problem: suzie ’ s discount footwear sells all pairs of shoes for one price and all pairs of boots for another price . on monday the store sold 22 pairs of shoes and 16 pairs of boots for $ 540 . on tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $ 720 . how much more do pairs of boots cost than pairs of shoes at suzie ’ s discount footwear ?
Rationale: "let x be pair of shoes and y be pair of boots . 22 x + 16 y = 540 . . . eq 1 8 x + 32 y = 720 . . . . eq 2 . now multiply eq 1 by 2 and sub eq 2 . 44 x = 1080 8 x = 720 . 36 x = 360 = > x = 10 . sub x in eq 2 . . . . we get 80 + 32 y = 720 . . . then we get 32 y = 640 then y = 20 differenece between x and y is 10 answer : c"
annotated_formula: divide(subtract(540, multiply(22, divide(subtract(multiply(540, const_2), 720), subtract(multiply(22, const_2), 8)))), 16)