Question

A 10-ounce box of cereal cost $3. A 20-ounce box of the same cereal cost $5. A third box of the same cereal costs $8.

Write a linear equation that expresses the price of a box of cereal as a function of the number of ounces of cereal in the box.

Calculate the number of ounces of cereal in the third box.

Answer 1

The number of ounces of cereal in the third box is 32.

Explanation:

Given-

10 oy box = $3

Price of 1 ounce box = $3/10

                                  = $0.3

20 oy box = $5

Price of 1 oy box = $5/20

                            = $0.25

Therefore, it is beneficial to buy a 20 oy box as it is comparatively cheaper than the 10 oy box.

Third box of cereal = $8

$5 is the price of 20 oy box

$8 will be the price of x oy box

So,

$x = \frac{20}{5} X 8\\ \\x = 32$

Therefore, the number of ounces of cereal in the third box is 32.