Question

Tanya drove 312 hours and used 13 tank of gas.

For how long could Tanya drive using ​12​ tank of gas?


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


hours please

Answer 1

`288(0)/(13)`

Solution :

We can use the proportional method in this question

This case is a direct proportion

What is Direct Proportion?

Direct proportion is a type of proportionality relationship. For direct proportion, as one value increases, so does the other value and conversely, as one value decreases, so does the other value. The symbol ∝ represents a proportional relationship.

We put the variable as x that represents the hour

We put it into a fractional form

`(312)/(13) = (x)/(12)`

Cross Multiplying

`312X12 = 13x`

`3744 = 13x`

`(3744)/(13) = x`

`288(0)/(13) = x`

Answer 2

Assuming you meant 3/12, 1/3 and 1/2. The answer would be 5
`(1)/(4\\)`.