Help on math problem from PR book

Test Preparation SAT Preparation
1

<p>If you have the book its on p.234</p>

<li>Of the students who made the honor roll at Buford Prep School, 23 got straight As. If 253 students did not make the honor roll, and the total number of students enrolled at Buford Prep is 370, how many students made the honor roll but did not get straight As?</li>
</ol>

<p>(A) 38
(B) 56
(C) 74
(D) 94
(E) 140</p>

<p>the formula should be Total = group1 + group2 + neiter - both</p>

<p>but I can’t seem to derive what fits what for these numbers.</p>

<p>the correct answer is (D) 94</p>

<p>thanks</p>

2

<p>Why go for a formula, when common sense works?</p>

<p>Total #students = 370 = #honor<em>roll + #(not on HR) = #HR + 253
So (370-253) = 117 students are on honor</em>roll</p>

<h1>onHR = 117 = #HR<em>with</em>StraightAs + #HR<em>without</em>StraightAs</h1>

<pre><code> = 23 + #HR_without_StraightAs
</code></pre>

<p>So #HR<em>without</em>StraightAs = 117 - 23 = 94.</p>

3

<p>wow, didn’t even bother to use common sense, hehe</p>

<p>thanks a lot :)</p>