## Kelly & Michael: MathCounts Winner Alec Sun

Alex Sun is the most recent winner of MathCounts, beating out 223 other competitors to take the title. The eighth grader from Lexington, Massachusetts, even remembered the question that won him the competition:

What is the greatest integer that must be a factor of the sum of any four consecutive odd positive integers? – Eight.

“When in doubt use eight,” said Kelly who couldn’t even believe the question was about math.

Sun hasn’t even been interesting in math that long. He told Kelly and Michael it wasn’t until he read a math book in the fifth grade that he realized it was easier than the other courses he was taking and more fun for him.

Sun isn’t just a mathlete though. He told Kelly and Michael he actually played piano at Carnegie Hall last October.

## Kelly and Michael Math Challenge

Kelly and Michael challenged Sun to a math competition but they were doomed to lose from the start. See how many of the math questions below you can answer correctly.

**The probability of pulling out a red token at random from a bag of 30 tokens is 20 percent. What is the number of non red tokens in the bag?** – 24.

**If a+2b+3c = 30, and a+3b+5c = 8, what is the value of a+b+c?** – 52.

**The population of Expotown is currently 54,000 people. If the population has increased by 200 percent in the past 30 years, what was the population 30 years ago?** – 18,000.

**Line L containing point (-11, -4) has the same Y-intercept as Y = -3x-2. What is the product of the slope and Y-intercept of line L. Express your answer as a common fraction.** – They didn’t give the answer to the problem and there is no way I could figure it out. If you know the answer, let us know in the comment section so I can update this article

**Kelly can set up and burn a single CD on her computer in 3.5 minutes. At this rate, how long will it take Kelly to set up and burn 20 of the same CD? **– 70 minutes.

Kelly and Michael didn’t get a single questions right.

**Recapo Update**: Stephen helped us out and came up with the answer to the Y-intercept problem. The answer is -4/11. Thanks for giving us the answer.

Stephen Vasas says

Line L containing point (-11, -4) has the same Y-intercept as Y = -3x-2. What is the product of the slope and Y-intercept of line L. Express your answer as a common fraction.

The first step is to figure out the Y-intercept of Y=-3X-2. Substituting X=0 yeilds Y=-2. Then, calculate the slope of points (-11,-4) and (0,-2). The slope is [-2 – (-4)] / [0 – (-11)] = 2/11. Finally multiply the slope with the Y-intercept. The answer is 2/11 * -2 = -4/11.

bw says

I can’t figure out this one:

If a+2b+3c = 30, and a+3b+5c = 8, what is the value of a+b+c?

Can you provide steps? Thanks!

Stephen Vasas says

Double the first equation, then subtract the second equation.

2a +4b +6c = 60

-a -3b -5c = -8

—————

a + b + c = 52

ursula thompson says

My dad solved the equation now who do we contact? I have looked high and low and there is not a contact. Please get back to me promptly? Thank you! Ursula