Question

You bake muffins for a bake sale. The ratio of banana muffins to carrot muffins is 12\8. You bake 24 carrot muffins. How many banana muffins do you bake?

Answer 1

To find out how many banana muffins to bake, we simplify the ratio 12:8 to 3:2 and set a proportion with the 24 carrot muffins. After cross-multiplying and solving, we determine that 36 banana muffins should be baked.

Step-by-step explanation:

The question is asking how many banana muffins you should bake if the ratio of banana muffins to carrot muffins is 12:8, and you have already baked 24 carrot muffins. To solve this, we need to find the equivalent number of banana muffins that correspond to the 24 carrot muffins based on the given ratio. First, we simplify the ratio 12:8. Dividing both numbers by their greatest common divisor, which is 4, we get the simplified ratio 3:2 (12÷4=3 and 8÷4=2). This means for every 3 banana muffins, there are 2 carrot muffins.

Since we have 24 carrot muffins, we can set up a proportion to find out how many banana muffins correspond to this amount:
3 banana muffins / 2 carrot muffins = x banana muffins / 24 carrot muffins.

Now, we solve for x by cross-multiplying and we get:
2x = 3 * 24
2x = 72
x = 36

So, you should bake 36 banana muffins for the bake sale.

Answer 2

If you baked 24 carrot cakes and 24/8 is 3 so for every 8 muffins you baked you baked 12 banana muffins so 12 x 3 is 36 the answer is 36