<p>I have no ideal on how to solve this =s The answer is D</p>
<p>In an art class, 2/3 of the students are girls and 2/5 of girls are seniors. If 1/3 of the senior girls have passed the final art test, which of the following could be the total number of students in the class?</p>
<p>a) 15
b) 20
c) 30
d) 45
e) 60</p>
<p>2/3 (2/5) (1/3) = 4/45 (the ratio of senior girls who passed the test)</p>
<p>only D fits because the total number must be a multiple of 45 (not factor of 45).</p>
<p>In an art class, 2/3 of the students are girls and 2/5 of girls are seniors. If 1/3 of the senior girls have passed the final art test, which of the following could be the total number of students in the class?</p>
<p>a) 15
b) 20
c) 30
d) 45
e) 60 </p>
<p>Let’s start with choice (C) as our first guess. Then there are 30 total students, 20 are girls, 8 of the girls are seniors, and since 8 isn’t divisible by 3, choice (C) isn’t the answer.</p>
<p>Let’s try (D) next. Then there are 45 total students, 30 are girls, and 10 senior girls have passed the test. This works, so the answer is choice (D).</p>
<p>Here I used the method of Strategy 1 from my book (which I think you have). This isn’t the quickest method for this problem, but it’s a pretty good one and will get you the answer pretty easily.</p>
<p>
</p>
<p>“Let’s try (D) next. Then there are 45 total students, 30 are girls, and 10 senior girls have passed the test. This works, so the answer is choice (D).”</p>
<p>Answer is D, but, unless I read the problem wrong, the solution was a bit different. </p>
<p>In an art class with 45 students , 2/3 of the students are girls. [30]<br>
From those 30 girls, 2/5 of girls are seniors. [12]
1/3 of the senior girls have passed the final art test, [4] </p>
<p>As Zack says, the group has to be divisible by 45.</p>
<p>ahhhhh thank you guys so much =D.</p>
<p>2/3, 2/5 and 1/3…
3<em>3</em>5 = 45, which is option D.</p>