A cereal box manufacturer changes the size of a box of cereal to increase the amount of cereal it contains. The equation 12+7.6n and 6 +8n, where n is the number of smaller boxes, are both representative of the amount of cereal that the new large box contains. How many smaller boxes equal the same amount of cereal in the larger box?

12+7.6n = 6+8n

n = 15

Well, it seems like we have a riddle here! Let's solve it with a touch of humor, shall we?

To find out how many smaller boxes equal the same amount of cereal in the larger box, let's set the two equations equal to each other:

12 + 7.6n = 6 + 8n

Now, let's simplify this equation and bring those n's together:

12 - 6 = 8n - 7.6n

6 = 0.4n

Divide both sides by 0.4:

n = 6 รท 0.4

*nudges you with a clown wig* Oh, look! It's time for some math magic! When you divide 6 by 0.4, voila, you get...

n = 15

So, my dear friend, it seems like 15 of those smaller boxes will equal the same amount of cereal in the larger box! Enjoy your endless supply of cereal!

To find out how many smaller boxes equal the same amount of cereal as the larger box, we need to set the two equations equal to each other and solve for n.

So we have:

12 + 7.6n = 6 + 8n

First, let's simplify the equation by subtracting 6 from both sides:

12 + 7.6n - 6 = 6 + 8n - 6

This gives us:

6 + 7.6n = 8n

Next, let's subtract 7.6n from both sides:

6 + 7.6n - 7.6n = 8n - 7.6n

Simplifying further:

6 = 0.4n

Finally, let's divide both sides of the equation by 0.4 to solve for n:

6 / 0.4 = n

This gives us:

15 = n

Therefore, 15 smaller boxes are equal to the same amount of cereal in the larger box.

To find out how many smaller boxes equal the same amount of cereal as the larger box, we need to set the two expressions equal to each other and solve for n.

The equation 12 + 7.6n represents the amount of cereal in the new larger box.

The equation 6 + 8n represents the amount of cereal in n smaller boxes.

Setting these two equations equal to each other, we get:
12 + 7.6n = 6 + 8n

Now, we can solve for n by isolating the variable on one side of the equation and simplifying:

12 - 6 = 8n - 7.6n
6 = 0.4n

Dividing both sides of the equation by 0.4, we get:
n = 6 / 0.4
n = 15

Therefore, 15 smaller boxes contain the same amount of cereal as the new larger box.