Daniel bakes 420 cakes - Edexcel - GCSE Maths - Question 4 - 2017 - Paper 3

To find the number of banana cakes, we compute:

$$\text{Number of banana cakes} = 35\% \times 420 = 0.35 \times 420 = 147$$

Thus, there are 147 banana cakes.

We first determine the total number of cakes accounted for so far:

$$\text{Total accounted cakes} = 120 + 147 = 267$$

Now, we calculate the remaining cakes:

$$\text{Remaining cakes} = 420 - 267 = 153$$

This total (153 cakes) consists of lemon and chocolate cakes.

Given the ratio of lemon cakes to chocolate cakes is 4:5, we can denote:

• Number of lemon cakes = 4x
• Number of chocolate cakes = 5x

Then, we have:

$$4x + 5x = 153$$

Simplifying this yields:

$$9x = 153 \Rightarrow x = 17$$

Thus, the number of lemon cakes is:

$$\text{Lemon cakes} = 4x = 4 \times 17 = 68$$