A Shampoo Problem: A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.25 of the bottle. How much shampoo is left? a. Is the shampoo problem a word problem for 0.25 * 25.4, is it a word problem for 25.4 − 0.25, or is it not a word problem for either of these? Explain. b. Write a new shampoo word problem for 0.25 * 25.4 and write a new shampoo word problem for 25.4 − 0.25. Make clear which is which.

a) There is no a word problem for both expressions ([tex]m = 0.25\cdot 25.4[/tex] and [tex]m = 25.4-0.25[/tex]), b) A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.75 of the bottle. How much shampoo is left? A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.25 fluid ounces of the bottle. How much shampoo is left?

Step-by-step explanation:

a) The shampoo problem is a word problem for:

(Final content) = (Initial content) - (Used content)

Then,

[tex]m = 25.4 - 0.25\cdot 25.4[/tex]

Or:

[tex]m = 0.75\cdot 25.4[/tex]

Hence, there is no a word problem for both expressions ([tex]m = 0.25\cdot 25.4[/tex] and [tex]m = 25.4-0.25[/tex]).

b) The word problem for [tex]m = 0.25\cdot 25.4[/tex] is:

A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.75 of the bottle. How much shampoo is left?

The word problem for [tex]m = 25.4-0.25[/tex] is:

A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.25 fluid ounces of the bottle. How much shampoo is left?