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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Here are the solutions to the questions. Question 2 2.1 Convert 155 g to kg. Step 1: Use the conversion factor 1 kg = 1000 g. 155 g = (155)/(1000) kg 155 g = 0.155 kg The mass in kilograms is 0.155 kg. 2.2 Determine the profit he will make if he sells a tin of Lucky Star pilchards. Step 1: Identify the selling price and cost price for Lucky Star pilchards. Cost Price = R14.99 Selling Price = R17.99 Step 2: Calculate the profit. Profit = Selling Price - Cost Price Profit = R17.99 - R14.99 Profit = R3.00 The profit is R3.00. 2.3 He buys a 5 kg Iwisa samp and repacks the samp into 125 g packets. Determine how many packets will be able to get from one pack of 5 kg samp. Step 1: Convert the total mass of samp from kg to g. 5 kg = 5 × 1000 g = 5000 g Step 2: Divide the total mass by the mass per packet. Number of packets = Total massMass per packet Number of packets = 5000 g125 g Number of packets = 40 He will be able to get 40 packets. 2.4 If the 10 kg Tastic rice is divided into 8 smaller packets. Calculate the selling price of ONE small packet. Step 1: Identify the selling price of the 10 kg Tastic rice. Selling Price of 10 kg Tastic rice = R192.49 Step 2: Divide the total selling price by the number of small packets. Selling price per small packet = Total selling priceNumber of packets Selling price per small packet = R192.498 Selling price per small packet = R24.06125 Step 3: Round to two decimal places for currency. Selling price per small packet ≈ R24.06 The selling price of one small packet is R24.06. Question 3 3.1 How many metres of material will she need to make the above 3 dresses? Step 1: Identify the material needed for each dress size. 6-year-old dress: 3 metres 7-year-old dress: 4 metres 10-year-old dress: 5 metres Step 2: Sum the material needed for all three dresses. Total material = 3 m + 4 m + 5 m Total material = 12 m She will need 12 metres of material. 3.2 What will the material cost for the three dresses? Step 1: Use the total material needed from 3.1 and the cost per metre. Total material = 12 metres Material cost = R120 per metre Step 2: Calculate the total material cost. Total material cost = Total material × Cost per metre Total material cost = 12 m × R120/m Total material cost = R1440 The material cost for the three dresses is R1440. 3.3 Calculate in centimetre the length of the embroidery cotton that Nkgono is going to use when sewing one dress. Step 1: Determine the total length of embroidery cotton in metres for one dress. She uses 3 rolls of cotton per dress. Each roll is 4 metres. Total length in metres = 3 rolls × 4 m/roll Total length in metres = 12 m Step 2: Convert the total length from metres to centimetres. 1 m = 100 cm Total length in centimetres = 12 m × 100 cm/m Total length in centimetres = 1200 cm The length of the embroidery cotton for one dress is 1200 cm. 3.4 Calculate the total amount that she will pay for the embroidery cotton? This question refers to the embroidery cotton for one dress, based on the context of 3.3 and 3.5. Step 1: Identify the cost per roll and the number of rolls used per dress. Cost per roll = R15 Rolls per dress = 3 Step 2: Calculate the total cost for embroidery cotton for one dress. Total embroidery cotton cost = Cost per roll × Number of rolls Total embroidery cotton cost = R15/roll × 3 rolls Total embroidery cotton cost = R45 The total amount she will pay for the embroidery cotton for one dress is R45. 3.5 What is the total cost of a dress for a 10 year old? Step 1: Determine the material cost for a 10-year-old dress. Material needed for a 10-year-old dress = 5 metres Material cost = R120 per metre Material cost for 10-year-old dress = 5 m × R120/m Material cost for 10-year-old dress = R600 Step 2: Add the cost of the embroidery cotton for one dress (from 3.4). Embroidery cotton cost for one dress = R45 Step 3: Calculate the total cost. Total cost of 10-year-old dress = Material cost + Embroidery cotton cost Total cost of 10-year-old dress = R600 + R45 Total cost of 10-year-old dress = R645 The total cost of a dress for a 10-year-old is R645. That's 2 down. 3 left today — send the next one.