Based on the information given, we know that Aadil takes a sample of 25 cakes each day to check the proportion of orange cakes. On Monday, Aadil calculated that he needed exactly 7 orange cakes in his sample.
Let's use algebra to solve this problem:
Let O be the number of orange cakes made on Monday.
Let T be the total number of cakes made on Monday.
Therefore, the proportion of orange cakes in Aadil's sample is 7/25.
According to the given information, the proportion of orange cakes in his sample is the same as the proportion of orange cakes made that day, so:
(O / T) = (7 / 25)
To find O, we need to calculate the value of T.
We know that the factory makes 750 cakes every day, so T = 750.
Now we can plug in the values:
(O / 750) = (7 / 25)
To solve for O, we can cross-multiply:
25O = 7 * 750
25O = 5250
Divide both sides of the equation by 25 to isolate O:
O = 5250 / 25
O = 210
Hence, the total number of orange cakes made on Monday is 210.