Question #6367d

1 Answer
Dec 9, 2015

color(green)( 4.9color(white)(.)"gallons used in 7 minutes")

Explanation:

This is a ratio problem that is best solved in the format of: a/b rather than a:b

color(blue)("'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~")
color(blue)("I am also going to show you a cool trick about units of measurement.")color(blue)("Did you know you can treat them the same way you")
color(blue)("do the numbers. This will give you the correct units to use for the")
color(blue)("answer.")
color(blue)("'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~")

As we are looking to solve for water we use that as the numerator:

Let gallons be color(blue)(g)
Let time in minutes be color(blue)(m)
Let the unknown amount of water be color(blue)(x)

("water used")/("time used") -> (color(brown)(16.8)color(blue)(g))/(color(brown)(24)color(blue)(m))

Write as :

(color(brown)(16.8)color(blue)(g))/(color(brown)24color(blue)(m)) =(color(brown)(x))/(color(brown)(7)color(blue)(m))

color(brown)( x=( 16.8xx7)/24 ) xx color(blue)( (gxxm)/m)

color(brown)(x=4.9)xxcolor(blue)(g)

color(green)(x= 4.9g)