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To calculate the total price for cupcakes, multiply the number of cupcakes by the price per cupcake. For Michele's average speed, divide the total distance by the total time: 5 km ÷ 42 min ≈ 0.12 km/min. For the flour options, the 10-kg bag costs R12.90 per kg, and the 2.5-kg bag costs approximately R13.60 per kg. Using 300 g of flour per loaf, the 10-kg bag is more cost-effective, costing about R3.87 per loaf compared to R4.08 for the 2.5-kg bag.
Solución
Below are the answers step‐by‐step. Note that the first (cupcake) problem does not include any numbers, so we’ll explain the method to calculate the total price, and then we’ll solve the other two problems.
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1. Cupcakes – Total Price
To calculate the total price you pay for cupcakes, you must know:
• The price for one cupcake (or price per dozen, etc.)
• The number of cupcakes you are buying
Then simply use:
Total Price = (Price per Cupcake) × (Number of Cupcakes)
For example, if each cupcake costs R5 and you buy 12 cupcakes, then the total price is:
Total Price = 5 × 12 = R60
(If you have specific numbers, you can plug them into this formula.)
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2. Michele’s Parkrun – Average Speed per Minute
Michele ran 5 km in 42 minutes. To find her average speed per minute (in km/min), use:
Average speed = (Total distance) / (Total time)
Thus:
Average speed = 5 km / 42 min ≈ 0.119 km/min
You might also express this as roughly 0.12 km every minute.
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3. Sam’s Bakery – Comparing Flour Options
Sam has two options for buying cake wheat flour:
Option A: 10‑kg bag for R129
Option B: 2.5‑kg bag for R33,99
a) Price per kilogram
For Option A:
Price per kg = R129 ÷ 10 = R12.90 per kg
For Option B:
Price per kg = R33.99 ÷ 2.5
Let’s calculate that:
33.99 ÷ 2.5 = 13.596
Rounded, that is approximately R13.60 per kg
b) Cost per loaf using 300 g of flour
Each loaf uses 300 g = 0.3 kg of flour.
Cost per loaf when using Option A:
Cost = 0.3 × R12.90 = R3.87
Cost per loaf when using Option B:
Cost = 0.3 × R13.60 ≈ R4.08
Thus, the flour from the 10‑kg bag (Option A) is more cost‑effective because the flour cost per loaf is lower (R3.87 vs. R4.08).
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Summary of Answers:
1. Cupcakes: Multiply the number of cupcakes by the price per cupcake.
Total Price = (Price per Cupcake) × (Number of Cupcakes)
2. Michele’s average speed = 5 km ÷ 42 min ≈ 0.119 km/min (about 0.12 km/min)
3a. Flour price per kg:
Option A: R129/10 = R12.90 per kg
Option B: R33.99/2.5 ≈ R13.60 per kg
3b. Cost per loaf (300 g flour):
Option A: 0.3 × R12.90 ≈ R3.87
Option B: 0.3 × R13.60 ≈ R4.08
The 10‑kg bag is the cheapest option per kilogram and per loaf.
Respondido por UpStudy AI y revisado por un tutor profesional
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