Question

A factory makes 750 cakes everyday.
The cakes are ornage cakes or lemon cakes.
Each day Aadil takes a sample of 25 cakes to check.
The proportion of his cakes in his sample that are orange is the same as the proportion of the cakes made that day are orange.
On Monday, Aadil calculated that he needed exactly 7 orange cakes in his sample. What is the total number of orange cakes that were made on Monday?

Answer 1

Let's represent the total number of orange cakes made on Monday as "x".
The proportion of orange cakes in the sample is 7/25.
According to the information given, this proportion is the same as the proportion of orange cakes made that day, which is x/750.
Setting up the equation:
7/25 = x/750
Cross-multiplying:
7 * 750 = 25 * x
5250 = 25x
Dividing both sides by 25:
x = 5250/25
x = 210
Therefore, the total number of orange cakes made on Monday is 210.