PSAT Math Question

<p>There are 200 cars.</p>

<p>100 cars are red.
120 cars have 4-doors.
140 cars have alloy rims.</p>

<p>What is the max number of cars that are green, have 2-doors, and have alloy rims?</p>

<p>I figured that there were at most 100 green cars. That's where I got stuck ...</p>

<p>100 cars are red, and there are 200 cars in total. The maximum number of green cars is logically 200-100 = 100 cars.</p>

<p>Now, 120 cars have 4-doors, right? That leaves us a maximum of 80 cars that may have 2-doors and also be green. We have come to 80 green cars now.</p>

<p>140 cars have alloy rims. Is it not possible that 80 of these 140 cars that have alloy rims also have 2-doors and are also green? Yes, it is possible. The total number of maximum cars that are green, have 2-doors, and have alloy rims is -80-.</p>

<p>That’s the answer I came up with, which is probably the only logical answer that can be produced with the little information given. But if I’m wrong, don’t blame me. I’ve already told you that this is my shot at it, so I’m not 100% sure. Let’s wait for other posters.</p>

<p>^Your correct. I like your lucid explanation :)! Thanks :)!</p>

<p>I took a misstep when I thought that there had to be 100 red cars with alloy rims … oops.</p>