Question

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+6.5​n, 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?

Answer 1

20 smaller boxes

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:

`Smaller\ Box = Larger\ Box`

`10 + 6.5n = 16 + 6.2n`

Collect Like Terms

`6.5n - 6.2n = 16 - 10`

`6.5n - 6.2n = 6`

`0.3n = 6`

Make n the subject

`n = 6/0.3`

`n = 20`

Hence, there are 20 smaller boxes