What do I need to find?
Your answer is correct.
What information do I need to use?
100% = 240 miles, she has already driven 15% of 240, so she has driven x miles.
How will I use the information?
Set up a proportion. If she has already driven 15% out of 100% of the distance, then you should write
for the first fraction. This is proportional to
. This means that
. Wait, but this is confusing. How on Earth do we solve it? Let's take a closer look. If
is supposed to equal 15/100, then this means that x/240 divided by 15/100 should give us the answer. So, even though it looks complicated, all you have to do is cross multiply like this:

Now isolate x:

So x = 36, which means she has already driven 36 out of 240 miles. Lucia still has to drive 204 miles to reach her destination.
1.) In this case, 56 = 100% and 25% of the sandwiches were tuna. This means that 75% of the sandwiches were not. If
and you use the same method above, x is equal to 14. If 14 is 25% then that means the other 75% = 14 * 3. So 42 sandwiches were not tuna.
2.)

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He still has $270 left to pay.