201. Divide 110 into two parts so that one will be 150 percent of the other. What are the 2 numbers?

202. At a sports banquet there are one hundred athletes. Each one is either a football or basketball player.
At least one is a football player. Given any two of the athletes, at least one is a basketball player. How many of the athletes are football players?

Only one of the athletes is a football player. The other ninety-nine are basketball players.

203. The following number is the only one of its kind. Can you figure out what is so special about it? 8,549,176,320

It's the only number that contains all of the digits in alphabetical order.

204. Jennifer took a test that had 20 questions. The total grade was computed by awarding 10
points for each correct answer and deducting 5 points for each incorrect answer. Jennifer answered all
20 questions and received a score of 125. How many wrong answers did she have?

She had five wrong answers. If Jennifer had answered all 20 questions correctly, she would have scored 200. Since she only scored 125, she must have lost 75 points.
Since each incorrect answer results in a total loss of 15 points (10 for not getting it correct and 5 for answering incorrectly) she must have
missed 5 questions. 5 x 15 = 75, 200 - 75 = 125.

205. You have 55 coins totaling $10.00. There are more nickels
than pennies, more dimes than nickels, and more quarters than dimes. How many of each coin do you have?

35 quarters ($8.75), 9 dimes (90 cents), 6 nickels (30 cents), and 5 pennies (5 cents).

206. A box of candy bars can be divided equally (without cutting anything) among 2, 3, or 7 people. What is the least number of candy bars the box could contain?

The lowest common denominator of 2, 3, and 7 is 2 x 3 x 7 or 42.

207. Using standard mathematical symbols, e.g. +, -, x, etc., rearrange
(4) fives to equal the numbers one to ten. For example, 5/5 + 5 - 5 = 1, 5/5 + 5/5 = 2, etc

1 = (5 / 5) x (5 / 5),
2 = (5 / 5) + (5 / 5),
3 = (5 + 5 + 5) / 5,
4 = ((5 x 5) - 5) / 5

5 = ((5 - 5) / 5 ) + 5, 6 = ((5 x 5) + 5)/5,
7 = 5 + ((5 + 5) / 5), 8 = (5 - (5 / 5))/.5,
9 = 5 + 5 - (5 / 5),
10 = 5 + 5 x (5 / 5).

208. Use each of the digits 1, 2, 3, 4, 5 and 6 once only, in this multiplication problem to make it correct.

? ?

x ?

——

? ? ?

209. Bob is ten years older than his brother Stan. There was a time when Bob was three times
as old as Stan. What was Stan's age when Bob was three times as old?

Stan was 5 years old and Bob was 15 years old.

210. Can you replace the question marks with three math symbols to make the following equation correct:

(2 ? 3) ? (6 ? 2) ? (3 ? 1) = 5

Here are some possible answers:
(2 x 3) + (6 / 2) - (3 + 1) = 5.

(2 + 3) - (6 - 2) + (3 + 1) = 5.

(2 - 3) + (6 - 2) + (3 - 1) = 5.

(3 + 2) x (6 / 2) / (3 x 1) = 5.