High School

Juliette has been given the recipe by her mother, and these are the ingredients required. Juliette's aunt is used to using imperial measures, so Juliette is going to have to change the recipe for her before she goes on holiday. In the front of the recipe book is the following table.

**MILK TART FILLING:**
- 540 ml milk
- 85 g flour
- 1 pinch salt
- 30 g margarine
- 100 g sugar
- Cinnamon sugar to taste

*Mom's tip: Secret to getting it to set right is in baking.*

Bake at [tex]$220^{\circ} C$[/tex] for 20 minutes and then reduce heat to [tex]$200^{\circ} C$[/tex] for the last 10 minutes.

[tex]
\[
\begin{tabular}{|c|c|c|}
\hline
\multicolumn{3}{|r|}{Mass} \\
\hline
Ounces to grams & 1 ounce (oz) & 25 grams (g) \\
\hline
Pounds to grams & 1 pound (lb) & 1400 grams (g) \\
\hline
\multicolumn{3}{|l|}{} \\
\hline
Pints to milliliters & 1 pint & 560 ml \\
\hline
Tablespoons to milliliters & 1 tablespoon & 12.5 ml \\
\hline
Teaspoons to milliliters & 1 teaspoon & 5 ml \\
\hline
\end{tabular}
\]
[/tex]

**Tasks:**

4.1 Convert 540 ml of milk to pints (pt). (Round off to two decimal places).

4.2 Convert 85 g of flour to pounds (lb).

4.3 Convert 30 g of margarine to ounces (oz).

4.4 Convert the given temperature in degrees Celsius to [tex]${ }^{\circ} F$[/tex] (degrees Fahrenheit) using the following formula:
[tex]\[ \text{Temperature in } { }^{\circ} F = \frac{9}{5} \times \text{Temperature in } { }^{\circ} C + 32^{\circ} \][/tex]

4.5 Convert the total baking duration to hours.

Answer :

Sure! Let's go through each part of the question step-by-step to understand the conversions:

4.1 Convert 540 ml of milk to pints:

- We know from the table that 1 pint is equivalent to 560 ml.
- To find out how many pints 540 ml is, we divide 540 ml by 560 ml:

[tex]\(\frac{540}{560} ≈ 0.96\)[/tex]

So, 540 ml of milk is approximately 0.96 pints.

4.2 Convert 85 g of flour to pounds:

- According to the table, 1 pound equals 1400 grams.
- To convert 85 grams to pounds, we divide 85 grams by 1400 grams:

[tex]\(\frac{85}{1400} ≈ 0.06\)[/tex]

Thus, 85 grams of flour is approximately 0.06 pounds.

4.3 Convert 30 g of margarine to ounces:

- From the information given, we know that 1 ounce is 25 grams.
- To convert 30 grams to ounces, we divide 30 grams by 25 grams:

[tex]\(\frac{30}{25} = 1.2\)[/tex]

Therefore, 30 grams of margarine is 1.2 ounces.

4.4 Convert the given temperature in degrees Celsius to degrees Fahrenheit:

There are two temperatures to convert:

- First temperature at 220°C:

The formula to convert from Celsius to Fahrenheit is:
[tex]\[ F = \left(\frac{9}{5} \times C\right) + 32 \][/tex]

For 220°C:
[tex]\[ F = \left(\frac{9}{5} \times 220\right) + 32 = 428.0°F \][/tex]

- Second temperature at 200°C:

For 200°C:
[tex]\[ F = \left(\frac{9}{5} \times 200\right) + 32 = 392.0°F \][/tex]

So, the temperatures are 428.0°F and 392.0°F, respectively.

4.5 Convert the duration to bake the tart to hours:

- The total baking time is 20 minutes at 220°C plus 10 minutes at 200°C.
- Adding them gives us [tex]\(20 + 10 = 30\)[/tex] minutes.
- To convert minutes to hours, we divide by 60:

[tex]\(\frac{30}{60} = 0.5\)[/tex]

Thus, the total baking duration is 0.5 hours.

I hope this step-by-step explanation helps you understand the conversions better!