This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Another one annie — let's solve it. Let x be the number of shirts and y be the number of dresses. a) Write down four inequalities representing the information above. Step 1: Formulate the inequality for the total time spent. A tailor spends 6 hours to make a shirt and 4 hours to make a dress. The tailor takes at least 240 hours. Total time: 6x + 4y. "At least 240 hours" means greater than or equal to 240. 6x + 4y 240 Divide by 2 to simplify: 3x + 2y 120 Step 2: Formulate the inequality for the total labour cost. The labour cost of making a shirt is Sh. 60 and that of a dress is Sh. 70. The total labour cost should not exceed Sh. 4,200. Total labour cost: 60x + 70y. "Should not exceed Sh. 4,200" means less than or equal to 4,200. 60x + 70y 4200 Divide by 10 to simplify: 6x + 7y 420 Step 3: Formulate the inequality for the number of shirts. The tailor must make at least 20 shirts. "At least 20 shirts" means greater than or equal to 20. x 20 Step 4: Formulate the inequality for the number of dresses. The tailor must make more than 16 dresses. "More than 16 dresses" means strictly greater than 16. y > 16 The four inequalities are: 1. 3x + 2y 120 2. 6x + 7y 420 3. x 20 4. y > 16 Send me the next one 📸