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.
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c) How much chocolate would I need if I gave 7 boys each (3)/(4) of a bar of chocolate? Step 1: Identify the number of boys and the fraction of chocolate each boy receives. Number of boys = 7 Chocolate per boy = (3)/(4) bar Step 2: Multiply the number of boys by the chocolate per boy to find the total chocolate needed. Total chocolate = 7 × (3)/(4) Total chocolate = (7 × 3)/(4) Total chocolate = (21)/(4) Total chocolate = 5(1)/(4) bars The total chocolate needed is 5(1)/(4) bars. d) Sipho eats (2)/(3) of a box of delicious sweets and Thandi eats (1)/(4) of them. They kept the rest for later. How many sweets were left in the box if there were 48 sweets in the box to start with. Step 1: Determine the total number of sweets in the box. Total sweets = 48 Step 2: Calculate the number of sweets Sipho eats. Sipho eats (2)/(3) of the total sweets. Sweets Sipho eats = (2)/(3) × 48 Sweets Sipho eats = (2 × 48)/(3) Sweets Sipho eats = (96)/(3) Sweets Sipho eats = 32 Step 3: Calculate the number of sweets Thandi eats. Thandi eats (1)/(4) of the total sweets. Sweets Thandi eats = (1)/(4) × 48 Sweets Thandi eats = (48)/(4) Sweets Thandi eats = 12 Step 4: Calculate the total number of sweets eaten by Sipho and Thandi. Total sweets eaten = Sweets Sipho eats + Sweets Thandi eats Total sweets eaten = 32 + 12 Total sweets eaten = 44 Step 5: Subtract the total sweets eaten from the initial total to find the remaining sweets. Sweets left = Total sweets - Total sweets eaten Sweets left = 48 - 44 Sweets left = 4 There were 4 sweets left in the box. Send me the next one 📸