Explanation for Question 26 From the Math (Calc) Section on the 2019 March Sat
Question 26 says Anita created a batch of green paint by mixing two 2 ounces of blue paint with three ounces of yellow paint. 3 She must mix a second batch using the same ratio of blue and yellow 4 paint as the first batch. If she uses five ounces of blue paint, 5 how much yellow paint should it need to use? 6 So first we need to set up the ratio of blue paint to yellow 7 paint from the first batch. And that is two over three with 8 the numerator being the amount of ounces of blue pink. 9 And we're going to set that ratio equal to five over X cause five 10 ounces is the amount of blue paint in the second batch, 11 and we want to keep the ratio consistent. So I'm going to cross multiply 12 here and get 15 is equal to two X and 13 then divide both sides by two. 14 And I'm going to get 7.5 is equal to 15 X. So that was go through the answer choices and see, 16 which is correct. So a is incorrect because we know it's actually 7.5 ounces, 17 not five. The second answer is three ounce. 18 More than the amount of yellow paint used in the first batch. 19 Well, there was three ounces of yellow paint using the first batch. 20 So it's not three ounces more it's more than that answer. 21 C is 1.5 times the amount of yellow paint used in the first batch. 22 Um, and that's not correct because that would be 4.5 23 ounces. And it's more than that at 7.5 and then D 1.5 24 times the amount of blue paint used in the second batch. 25 Um, and that is correct because five times 1.5 is 7.5. 26 So the correct answer here is D.