Question

A bakery baked two type of cakes, chocolate cake and vanilla cake. Given 30% of the cakes are vanilla cakes and only half of the vanilla cakes was sold. State each of the following ratios in the form of a:b. Given the answers in simplest form.

(i) the ratio of the number of chocolate cakes to the number of vanilla cakes.
(ii) the ratio of the number of vanilla cakes sold to the total number of cakes

Answer 1

The ratio of chocolate cakes to vanilla cakes is 7:3. The ratio of vanilla cakes sold to the total number of cakes is 3:20.

Step-by-step explanation:

(i) To find the ratio of the number of chocolate cakes to the number of vanilla cakes, we need to know the relative quantities of each type. Given that 30% of the cakes are vanilla, this means that 70% are chocolate. So the ratio of chocolate cakes to vanilla cakes is 70:30, which can be simplified to 7:3.

(ii) To find the ratio of the number of vanilla cakes sold to the total number of cakes, we need to consider that only half of the vanilla cakes were sold. So the ratio would be half of the number of vanilla cakes sold to the total number of cakes. Let's say there were 100 cakes in total, with 30 being vanilla cakes. If half of the vanilla cakes were sold, that means 15 were sold.

Answer 2

(i). 7:3

(ii). 1:2

Step-by-step explanation:

Since 30% of the cakes are vanilla cakes, we can assume that 100% - 30% = 70% of the cakes are chocolate cakes. Therefore, the ratio of the number of chocolate cakes to the number of vanilla cakes is 70:30, or 7:3 in simplest form.

(ii) the ratio of the number of vanilla cakes sold to the total number of cakes.

Since only half of the vanilla cakes were sold, we can assume that the ratio of the number of vanilla cakes sold to the total number of cakes is 1:2.

I hope this helps! Let me know if you have any other questions or need further assistance.