Question

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.

Answer 1

Answer:

a) There is no a word problem for both expressions ($m = 0.25\cdot 25.4$ and $m = 25.4-0.25$), 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,

$m = 25.4 - 0.25\cdot 25.4$

Or:

$m = 0.75\cdot 25.4$

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

b) The word problem for $m = 0.25\cdot 25.4$ 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 $m = 25.4-0.25$ is:

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