Lindsay fills up the gas tank before beginning a long trip. When the gas gauge shows that she has used three-eights of a tank of gas, she has drive. 165 miles. How far could she expect to drive in a full tank.

440miles

Step-by-step explanation:

We are told that mileage of 165 = 3/8 of a tank of gas

as inverse 5/8 would be left and the product we seek to add to 165.

We find a ratio to distribute 165 as 3/8

First we double and find 6/8 is an even number and = 330 miles.

= 3/4 ratio and that is 6:8 so 2 extra we seek to make a full tank before we add is 1/3 of 330 miles as 1/3 = 2/8 to make this balance only in this question is this possible as we call it distribution like percentage 10% added to 100 would always be 10 just like it is added, but finding 10% of 110 is different.

Therefore so would 1/3 afterwards once we find 1/3 = 2/8 is not the same as finding 1/3 after we find the full tank.

1/3 of 330 = 110

110 +330 = 440miles

I hope that helps you see how to work out close range distribution.

As now not that it's asking you to see 1/3 of 440miles but in same principal as explained about the 10% theory, you see 1/3 of 440 miles is now more than 110. it is 1/3 x 440 = 146.66 = 1/3. and so we can prove distribution is possible and say 2/8 = 1/3 even though in relation to 1 as a whole number its not true. It's only true in distribution.