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
Step 1: Calculate the total metres of material needed for the three dresses. The material needed for each dress is: • 6-year-old dress: 3 metres • 7-year-old dress: 4.5 metres • 10-year-old dress: 5 metres Total material = 3 m + 4.5 m + 5 m = 12.5 m The total metres of material needed is 12.5 metres. 12.5 metres Step 1: Calculate the total material cost for the three dresses. The total material needed is 12.5 metres (from Q3.1). The material costs R120.50 per metre. Material cost = 12.5 m × R120.50/m = R1506.25 The material cost for the three dresses is R1506.25. R1506.25 Step 1: Calculate the total length of embroidery cotton in metres for one dress. Nkgono uses 3 rolls of cotton per dress. Each roll is 4 metres long. Length in metres = 3 rolls × 4 mroll = 12 m Step 2: Convert the length from metres to centimetres. Given that 1 metre = 100 centimetres. Length in centimetres = 12 m × 100 cmm = 1200 cm The length of the embroidery cotton for one dress is 1200 cm. 1200 cm Step 1: Determine the total number of embroidery cotton rolls needed for the three dresses. She uses 3 rolls of cotton per dress. There are 3 dresses (one of each size mentioned). Total rolls = 3 rollsdress × 3 dresses = 9 rolls Step 2: Calculate the total cost for the embroidery cotton. Each roll of embroidery cotton costs R15.25. Total cost = 9 rolls × R15.25/roll = R137.25 The total amount she will pay for the embroidery cotton for the three dresses is R137.25. R137.25 Step 1: Calculate the material cost for a 10-year-old dress. A 10-year-old dress requires 5 metres of material. The material costs R120.50 per metre. Material cost = 5 m × R120.50/m = R602.50 Step 2: Calculate the embroidery cotton cost for one dress. One dress uses 3 rolls of embroidery cotton. Each roll costs R15.25. Embroidery cotton cost = 3 rolls × R15.25/roll = R45.75 Step 3: Calculate the total cost of a dress for a 10-year-old. Total cost = Material cost + Embroidery cotton cost Total cost = R602.50 + R45.75 = R648.25 The total cost of a dress for a 10-year-old is R648.25. R648.25 That's 2 down. 3 left today — send the next one.