High School

1.1.2. How many batches of cupcakes does Lihle need to make to produce 120 cupcakes?

1.1.3. How many liters of milk does Lihle need to make 120 cupcakes?

1.1.4. Lihle's oven uses [tex]^{\circ} C[/tex], but the recipe tells her to set the oven to [tex]425^{\circ} R[/tex]. What temperature should Lihle set the oven to in [tex]^{\circ} C[/tex]?

Use the formula: [tex]^{\circ} C = \left(\frac{^{\circ} F - 32}{1.8}\right)[/tex]

Answer :

Let’s solve each part step by step.

1. For the batches of cupcakes, assume one batch produces 12 cupcakes. To find the number of batches needed, use the formula

$$
\text{Batches} = \frac{\text{Total cupcakes}}{\text{Cupcakes per batch}} = \frac{120}{12} = 10.
$$

So, Lihle needs to make 10 batches.

2. If one batch requires 0.75 litres of milk, then the total litres of milk needed is

$$
\text{Milk required} = 10 \times 0.75 = 7.5 \text{ litres}.
$$

3. The recipe instructs the oven to be set to $425^\circ R$. We assume this corresponds to $425^\circ F$, so we convert from Fahrenheit to Celsius using the formula

$$
^\circ C = \frac{(^\circ F - 32)}{1.8}.
$$

Substitute $425^\circ F$ into the formula:

$$
^\circ C = \frac{425 - 32}{1.8} = \frac{393}{1.8} \approx 218.33^\circ C.
$$

Thus, Lihle should set the oven to approximately $218.33^\circ C$.

In summary:

- Batches of cupcakes: 10
- Litres of milk: 7.5 litres
- Oven temperature: approximately $218.33^\circ C$