Question

A factory makes 750 cakes every day.

The cakes are orange cakes or lemon cakes.
Each day Aadil takes a sample of 25 cakes to check.
The proportion of the cakes in his sample that are orange is the same as
the proportion of the cakes made that day that are orange.
On Monday Aadil calculated that he needed exactly 7 orange cakes
in his sample.
a) What is the total number of orange cakes that were made on Monday​

Answer 1

210

Explanation:

• Total cakes made per day = 750
• Sample number = 25

Ratio of total to sample:

• 750/25 = 30

Orange cakes:

• Ratio*sample = 30*7 = 210