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

Answer:

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:

$Smaller\ Box = Larger\ Box$

$10 + 6.5n = 16 + 6.2n$

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