Explanation for Question 33 From the Math (Calc) Section on the Official Sat Practice Test 4
Now hearing question number 33, we're looking at the PEs aroma unit, 2 a Roman, a unit measure of the length, and it's approximately equal to 11.65 3 inches. Right? So one pets is about 11.65 inches, 4 and it's also equivalent to 16 smaller digits, 5 right? So one PEs is equal to 16 digits as well. 6 So all three of these numbers are the same thing. 7 Really? So based on these relationships, 8 75 digits is equivalent to how many feet, 9 right? So let's start with the digits, right? 10 You've got 75 digits, but I want to convert that to feet and 11 order to get to feet. I first need to convert my digits to inches. 12 So I'll multiply it by a conversion factor and I want the digits to 13 cancel out. So I'll put whatever digits in my denominator and inches in my 14 numerator. And I now see that 16 digits is 11.65 inches. 15 So I'll put a 16 here and 11.65 here, 16 which allows my digits to cancel out. But remember this isn't my final answer 17 because what I really want is feet. So I want my interest to cancel 18 out and I want my answer to be in feet. 19 So I'll put inches in my denominator, leaving me with feet. 20 We know that 12 inches is one foot. 21 So now if I simply multiply and divide these numbers again, 22 answer right. So I'll do 75 times 11.6, 23 five divided by 16 divided by 12. 24 And we get 4.5507. 25 But the, you want the answer to the nearest hundred, 26 which is this right here. The five is that makes our answer 4.5, 27 five feet.