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Tanya drove 3 1/2 hours and used 1/3 tank of gas.

For how long could Tanya drive using​ 1/2 ​tank of gas?

Enter your answer as a mixed number in simplest form in the box.

It would help so much :)

Respuesta :

charstar
3 1/2 : 1/3 
Multiply each side by 3:
10 1/2 : 1
Divide each side by 2:
5 1/4 : 1/2

Hope this helps :)
calculista

Answer:

[tex]5\frac{1}{4}\ hours[/tex]

Step-by-step explanation:

Convert mixed number to an improper fraction

[tex]3\frac{1}{2}\ hours=\frac{3*2+1}{2}=\frac{7}{2}\ hours[/tex]

by proportion

[tex]\frac{(7/2)}{(1/3)}\frac{hours}{tank} =\frac{x}{(1/2)}\frac{hours}{tank}\\ \\x=(7/2)*(1/2)/(1/3)\\ \\x=(21/4)\ hours[/tex]

Convert an improper fraction to a mixed number

[tex](21/4)\ hours=\frac{20}{4}+\frac{1}{4}=5+\frac{1}{4}=5\frac{1}{4}\ hours[/tex]

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