Maria uses the recipe below to bake scones. Ingredients (makes 1 dozen) 75 g butter 2 large eggs 75 g sugar 4 teaspoons baking powder 230 ml milk 500 g flour 1 cup raisins Baking I... Maria uses the recipe below to bake scones. Ingredients (makes 1 dozen) 75 g butter 2 large eggs 75 g sugar 4 teaspoons baking powder 230 ml milk 500 g flour 1 cup raisins Baking Instruction Bake for 15 minutes at 200 °C. Use the information above to answer the questions that follow. 1. Convert the mass of the flour to kilograms. 2. Determine the number of large eggs needed to make 30 scones. 3. Each scone has an average diameter of 7 cm. Write down the average radius of EACH scone. 4. Calculate how many full dozen scones can be made with 500 g of butter. 5. The scones were placed in the oven to bake at 14:10. Write down, in words, the time the scones were placed in the oven.
Understand the Problem
The image presents a baking recipe for scones along with a series of math questions related to the recipe. These questions require calculations involving unit conversions, ratios, and basic arithmetic based on the provided ingredients and baking instructions. The tasks include converting flour mass, scaling ingredients for a different quantity of scones, applying geometric relationships to the scones' dimensions, and interpreting time.
Answer
1.3.1: 0.5 kg 1.3.2: 5 eggs 1.3.3: 3.5 cm 1.3.4: 6 dozens 1.3.5: Ten minutes past two in the afternoon.
Answer for screen readers
1.3.1: $0.5 \text{ kg}$ 1.3.2: $5 \text{ eggs}$ 1.3.3: $3.5 \text{ cm}$ 1.3.4: $6 \text{ dozens}$ 1.3.5: Ten minutes past two in the afternoon.
Steps to Solve
- Convert grams to kilograms
To convert grams (g) to kilograms (kg), divide the mass in grams by 1000 since 1 kg = 1000 g.
$500 \text{ g} = \frac{500}{1000} \text{ kg} = 0.5 \text{ kg}$
- Determine the number of eggs for 30 scones
The recipe makes 1 dozen (12) scones and requires 2 eggs. To determine the number of eggs for 30 scones, set up a proportion. First determine how many scones is equivalent to an egg:
$\frac{12 \text{ scones}}{2 \text{ eggs}} = 6 \text{ scones per egg}$
Then divide the amount of desired scones by the scones per egg:
$\frac{30 \text{ scones}}{ 6 \text{ scones per egg}} = 5 \text{ eggs}$
- Calculate the radius of a scone
The radius is half of the diameter. Given the diameter is 7 cm, divide by 2:
$r = \frac{d}{2} = \frac{7}{2} = 3.5 \text{ cm}$
- Calculate the number of full dozens of scones that can be made with 500 g of butter
The recipe requires 75 g of butter for one dozen scones. To find out how many dozens can be made with 500 g of butter, divide 500 by 75.
$\frac{500}{75} = 6.666...$
Since we want full dozens, we only take the whole number part i.e. 6.
- Write the time in words
The time 14:10 is "ten past two in the afternoon" or "ten minutes past fourteen hours".
1.3.1: $0.5 \text{ kg}$ 1.3.2: $5 \text{ eggs}$ 1.3.3: $3.5 \text{ cm}$ 1.3.4: $6 \text{ dozens}$ 1.3.5: Ten minutes past two in the afternoon.
More Information
A dozen is a grouping of 12.
Tips
- For question 1.3.1, forgetting to divide by 1000 when converting grams to kilograms.
- For question 1.3.2, setting up the proportion incorrectly or making a mistake in the arithmetic.
- For question 1.3.3, confusing radius and diameter.
- For question 1.3.4, not understanding the concept of "full dozens" and rounding up.
- For question 1.3.5, not writing the time in words correctly or misunderstanding the 24-hour format.
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