[Video] Q1: Juliet rented a car for one day from a company that charges $80 per day plus $0.15 per mile driven. if she was charged a total of $98 for the rental and mileage, for how many miles of driving was juliet charged? (assume there is no tax.)

Explanation for Question 1 From the Math (No Calc) Section on the 2019 April Sat

So for number one, we are given a word problem and with word problems, 2 it's always helpful to write out information as it's given to you as well 3 as underlining other key information. So here it says Juliet rented a car for 4 one day from a company that charges $80 per day, 5 plus 15 cents per mile. 6 If she was charged a total of 98 for 7 the rental and mileage for how many miles of driving was Juliet charge. 8 So we are looking for the number of miles. 9 So now that we have all our information written out, 10 it's a little bit easier to create our equation. 11 We have $80 per day for one day. 12 So that's just going to be $80 plus 15 cents 13 per mile. We don't know how many miles we have. 14 That's what we're looking for. So I'm going to call it X and then 15 we know the total was 98. 16 So now we have this equation and you can solve for X to find 17 the number of miles. So first we subtract 80 from both sides that 18 leaves you with point 15 X equals 18. 19 And since we can't have a calculator, I would use long division. 20 So 18 divided by 0.15. 21 It's easier if we multiply both numbers by a hundred. 22 So that makes that 15 and this 1800. 23 And now the long division calculations, a little bit easier. 24 So 15 goes into 18. Once it leaves us with three, 25 we bring down the zero, 15 goes into 30 twice, 26 leaves you with zero. So the answer is B 27 120 miles.

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