Alright, first thing's first, simplify the equation as much as you can. If you wanted, I suppose you could just multiply everything by 40, but that's super unconventional.
7x/8 - 3x/8 = 1/5 + 3/10
Simplify: 4x/8 = 1/5 + 3/10
Make sure that when subtracting or adding fractions that the denominators (The number on the bottom of the fraction) are equal.
In order to add 1/5 and 3/10 together, all we have to do is ensure that both denominators are equal.
To do this, simply multiply 1/5 by 2/2. The new fraction will be 2/10 (You can do this since it's the exact same fraction, 2/10 will simplify down to 1/5. The reason we did this was to make sure that the two fractions had equal denominators).
Our equation now looks like this: 4x/8 = 2/10 + 3/10
Add the fractions on the right: 4x/8 = 5/10
Huh, whaddya know? Both the fraction on the left and the right can be simplified into 1/2! (4/8 becomes 1/2, and 5/10 becomes 1/2)
1x/2 = 1/2 x/2 = 1/2
If you want to, I suppose you could cross multiply to check, but the answer's already pretty obvious.
x = 1
Good luck! If you need me to explain anything I did here, just ask :)) -T.B.
Well first we need to subtract the 29.95 from the 100 which equals 70.05 then we divide that by the 48 cents which gives use how far they can go with their mileage, which is 145 miles. hope this helped