A cereal box manufacturer changes the size of the box to increase the amount of cereal it contains. The expressions 16+6.2n and 10+6.5n, where n is the number of smaller boxes, are both representative of the amount of cereal that the new larger box contains. How many smaller boxes equal the same amount of cereal in the larger box?

20 smaller boxes

Step-by-step explanation:

Given

Smaller Box = 10 + 6.5n

Larger Box = 16 + 6.2n

Required

Determine the number of small box in each box

To do this, we simply equate both expressions:

Collect Like Terms

Make n the subject

Hence, there are 20 smaller boxes

  The number of balloons varies directly with the number of tables. The two variables are directly proportional. The relationship of balloons to tables is the ratio 5:1, where 5 is the constant of variation. Use the equation y = kx, where k is the constant of variation resulting in the equation y = 5x.

Hope i helped