Explanation for Question 10 From the Math (Calc) Section on the Official Sat Practice Test 6
Question 10 asks us between 1497 and 1500 2 America Vespucci embarked on two voyages to the new world. 3 According to the species letters, the first forage lasted 43 days longer than the 4 second voyage. And the two voyages combined lasted a total of 1003 5 days. How many days did the second voyage last? 6 Okay, so this is another word problem. And to solve this one, 7 we're going to want to essentially kind of translate these words right here into 8 mathematical equations that we can solve. So let's look at this first first 9 piece of info. It says the first voyage lasted 43 10 days longer than the second voyage. So let's have F equal length of the 11 first forage, its length of first voyage and let's have us 12 equal length of second voyage. 13 Okay. So we know that the first forage lasted 43 days longer than the 14 second voyage. So F equals 15 us the length of the second plus 43 days. 16 So it's important to note that the units on this RN days, 17 the second piece of information that we're given is that the two voyages combined 18 lasted a total of 1003 days. 19 So we can add F plus S together. 20 And we know that that is equal to that 1003 days. 21 All right. So we're trying to solve for S we're trying to find out 22 how many days did the second voyage So from here, 23 what we're going to do is we're going to plug F into this expression 24 since we have, and it's going to be using substitutions since we have F 25 is equal to S plus 43. So now we've got us plus 43 plus 26...