Final answer:
The ratio of boxes of Nerds to bags of Skittles is 10:22, which simplifies to a ratio of 5:11 when divided by their greatest common divisor.
Step-by-step explanation:
The student has asked to find the ratio of boxes of Nerds to bags of Skittles in a stock of candy at a store. To calculate this ratio, we compare the quantity of Nerds to the quantity of Skittles.
The store has 10 boxes of Nerds and 22 bags of Skittles. The ratio is therefore 10:22. This can be simplified by dividing both numbers by their greatest common divisor, which is 2, resulting in the simplified ratio of 5:11. Thus, the simplified ratio of Nerds to Skittles is 5 to 11.