Answer: 210 kg of sugar remains.
Explanation:
Let's break it down step by step:
If the bakery bought 450 kg of sugar and we're dividing it into parts:
1/3 of the sugar was used for baking sugar muffins.
1/5 of the sugar was used for baking cinnamon muffins.
To find out how much was used for each type of muffin, we need to calculate these fractions:
1/3 * 450 kg = 150 kg (used for sugar muffins)
1/5 * 450 kg = 90 kg (used for cinnamon muffins)
Now, let's add these together to find the total amount of sugar used:
150 kg for sugar muffins + 90 kg for cinnamon muffins = 240 kg
If 240 kg of sugar was used, we can find how much remains by subtracting this from the total amount bought:
450 kg (total) - 240 kg (used) = 210 kg
Therefore, after using a third for sugar muffins and a fifth for cinnamon muffins, 210 kg of sugar remains.