Explanation for Question 20 From the Math (No Calc) Section on the 2018 March Sat
Question 20 says to Mika is ordering desktop computers for her company. 2 The desktop computers cost $375 each and tax 3 is an additional 6% of the total cost of the computers. 4 If she can spend no more than $40,000 on the desktop computers, 5 including tax, what is the maximum number of computers that Tamika 6 can purchase? So we're going to start by setting up an equation with the 7 information that we were given here. So we know that the computers cost $375 8 each, and I'm going to represent computers with the variable in this equation. 9 So 3 75 times C gives us the cost in dollars 10 of the computers. And then in addition to that, 11 there's a 6% tip sales tax. 12 So after that original number is calculated, 13 we need to multiply that one by 1.06, 14 to see what that would equal if there was tax. 15 And then finally we know that Tamika can spend no more than $40,000, 16 which means that this number on the left has to be less than or 17 equal to 40,000. 18 So now that we have our equation so that we can solve for C, 19 so we'll start by dividing both sides by 1.06. 20 And that gives us 3 75 C is less than or equal 21 to 3 97 0.50. 22 Then we divide both sides by 375. 23 And that gives us see is less than or equal to a hundred 0.63. 24 And since we can't have a partial amount of a computer, 25 we have to round to a whole number. And since C is less than 26 or equal to a hundred 0.6, three, 27 we need to round down. And so we know that C is equal to 28 a hundred and that's our answer here. 29 100.