Question

A group of kids baked muffins for a school fair. The ratio of the banna muffiins to the number of blueberry muffins they baked was 3:5. The total number of the muffins is more than 80 but less than 100. It is also not a factor of 3. So How many muffins did the students bake in all?

Answer 1

The students baked either 80 or 88 muffins in total.

Step-by-step explanation:

To find the total number of muffins the students baked, we need to determine the ratio of banana muffins to blueberry muffins. The given ratio is 3:5. Let's assume that the number of banana muffins is 3x and the number of blueberry muffins is 5x.

The total number of muffins is more than 80 but less than 100, so we can set up an inequality:

3x + 5x > 80 and 3x + 5x < 100.

Next, we can solve the inequality:

8x > 80 and 8x < 100.

Dividing both sides by 8 gives:

x > 10 and x < 12.

Since x represents the number of sets of 3 banana muffins and 5 blueberry muffins, we can multiply x by 8 to find the total number of muffins:

Total number of muffins = 8x = 8 * (number of sets of 3 banana muffins and 5 blueberry muffins) = 8 * x = 8 * (10 or 11) = 80 or 88.