Question

A cereal box manufacturer changes the size of the box to increase the amount of cereal contains the expressions 12+6.9n and 6+7.1 and where n is the number of the smaller boxes are both representative of the amount of cereal that the new larger boxes contains how many smaller boxes equal the same amount of cereal in the larger box

Answer 1

Given :

Amount of cereal in smaller box , 6 + 7.1 .

Amount of cereal in big box , 12 + 6.9n ( here , n is number of small boxes ).

To Find :

The amount of cereal that the new larger boxes contains how many smaller boxes equal the same amount of cereal in the larger box.

Solution :

Let, number of boxes required to satisfy given condition is x.

So,

`12 + 6.9x = (6 + 7.1)x\\\\13.1x -6.9x = 12\\\\(13.1-6.9)x=12\\\\6.2x = 12\\\\x=(12)/(6.2)\\\\x\ $\approx$ 2`

Therefore, two small boxes are required.

Hence, this is the required solution.