Question

A woman drives an SUV that gets 11 ​mi/gal (mpg). Her husband drives a hybrid that gets 65 mpg. Every​ week, they travel the same number of miles. They want to improve their combined mpg. They have two options on how they can improve it.

Answer 1

The correct solution is "
`(45.5>39) \ mpg`". A further explanation is provided below.

Explanation:

The above query seems to be incomplete. Below is the attachment of the complete question is attached.

Given that,

For SUV,

= 11 ​(mpg)

For hybrid ghost,

= 65 mpg

Now,

Option 1:

After tuning, the mileage of SUV will be:

=
`11+2`

=
`13 \ mpg`

Average mileage will be:

=
`(13+65)/(2)`

=
`(78)/(2)`

=
`39 \ mpg`

Option 2:

Given:

Mileage of new hybrid,

= 80 mpg

Now,

Average mileage will be:

=
`(11+80)/(2)`

=
`(91)/(2)`

=
`45.5 \ mpg`

Thus we can say that the second option gives better mpg as compared to the first one.

i.e.,

⇒
`(45.5>39) \ mpg`