Question

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 :)

Answer 1

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 :)

Answer 2

`5(1)/(4)\ hours`

Explanation:

Convert mixed number to an improper fraction

`3(1)/(2)\ hours=(3*2+1)/(2)=(7)/(2)\ hours`

by proportion

`((7/2))/((1/3))(hours)/(tank) =(x)/((1/2))(hours)/(tank)\\ \\x=(7/2)*(1/2)/(1/3)\\ \\x=(21/4)\ hours`

Convert an improper fraction to a mixed number

`(21/4)\ hours=(20)/(4)+(1)/(4)=5+(1)/(4)=5(1)/(4)\ hours`