Answer:
16.5 hours will it take her to drink 4 gallons of water
Step-by-step explanation:
Proportion states that two ratios or fractions are equal.
As per the statement:
Hye Lim drank 4/3 gallons of water in 11/2 hours.
We have to find how long will it take her to drink 4 gallons of water
let x be time in hours will it take her to drink 4 gallons of water
then by definition of proportion,
[tex]\frac{\frac{4}{3}}{\frac{11}{2}} = \frac{4}{x}[/tex]
By cross multiply we have;
[tex]\frac{4}{3}x = \frac{11}{2} \cdot 4[/tex]
Simplify:
[tex]\frac{4}{3}x =22[/tex]
Divide both side by [tex]\frac{3}{4}[/tex] we have;
[tex]x = \frac{66}{4} = \frac{33}{2} =16.5[/tex] hours
Therefore, 16.5 hours will it take her to drink 4 gallons of water
