Explanation for Question 14 From the Math (No Calc) Section on the Official Sat Practice Test 6
14 reads a laundry services, 2 buying detergent and fabric softener from a supplier. 3 The supplier will deliver no more than 300 pounds in a shipment. 4 Each container of detergent weighs 7.3, 5 five pounds, and each container of fabric softener weighs 6.2 pounds. 6 The service wants to buy at least twice as many containers of detergent as 7 containers of fabric softener, let D represent the number of containers of 8 detergent. And let us represent the number of containers of fabric softener or D 9 and S are non-negative integers, 10 which of the following systems of inequalities best represents this situation. 11 So essentially, we're trying to convert this long paragraph into a set 12 of mathematical equations and to do that, 13 let's highlight some key words and phrases that tell us what's going on in 14 this scenario. So we can have no more than 300 pounds 15 within the shipment. So assuming that this is the expression 16 for total number of pounds, which is we know that it has to be 17 less than or equal to 300, and that unfortunately doesn't help us narrow it 18 down since all the answer choices have that, but we can confirm that we're 19 heading in the right direction. 20 Each container of detergent weighs 7.35 pounds. 21 Okay. So that's an important piece of information and each container of fabric softener 22 weighs 6.2 pounds. So to get the total weight we're 23 going to add up. So total weight is going to be the 24 weight of the detergent detergent weight, 25 plus...