Sam is making muffins. One bath is blueberry and one batch is bananna. The third bath is twice as big as the blueberry and bananna batch.

If Sam made 96 muffins, how many muffins were in the blueberry and banana batches?

I came up with 32
can someone please show me how to set this up so i cN explain it to my son

the banana and blueberry are both 24 the 3rd batch is 48 because its twice the amout of both u divide 96 by two then divde 48 by two hope i was helpfull

48 muffins in the third batch because it was x2. So you actually divide 96 by 4=24 in each batch. so if the banana=24,blueberry=24, 3rd batch =48 then you have a total of 96

To solve this problem, we can set up a system of equations. Let's represent the number of muffins in the blueberry batch as 'B', the number of muffins in the banana batch as 'N', and the number of muffins in the third batch as 'T'.

From the given information, we know that the total number of muffins is 96, so we can write the equation:

B + N + T = 96 ---- (Equation 1)

We also know that the third batch is twice as big as both the blueberry and banana batches. Since the blueberry batch and the banana batch have the same number of muffins, we can write:

T = 2(B + N) ---- (Equation 2)

Now we have a system of two equations with two unknowns. We can solve this system to find the values of B and N.

To eliminate the variable T, we can substitute the value of T from Equation 2 into Equation 1:

B + N + 2(B + N) = 96
3(B + N) = 96
B + N = 32 ---- (Equation 3)

Now, we have a new equation that relates the number of muffins in the blueberry batch and the banana batch. Note that this equation represents the sum of muffins in the blueberry and banana batches, which is equal to 32.

But since the blueberry and banana batches have the same number of muffins, we can divide 32 by 2:

(B + N) / 2 = 32 / 2
B + N = 16 ---- (Equation 4)

Equation 4 tells us that the sum of muffins in both the blueberry and banana batches is 16.

Now, we can solve Equation 4 to find the values of B and N. Since the two batches have the same number of muffins, we can divide the sum equally between them:

B = 16 / 2 = 8
N = 16 / 2 = 8

So, there are 8 muffins in both the blueberry and banana batches.

Therefore, the answer is that there are 8 muffins in both the blueberry and banana batches.