DAY 365

There are 6 players on a coed volleyball team. After a game, each girl drank 5 cups of water, and each boy drank 7 cups. The coach drank 9 cups, and 43 cups were consumed in all. How many girls and how many boys are on the team.

Answer:

2 boys, 4 girls ....... Let x = the number of boys and (6 - x) = the number of girls. The boys and girls drank 34 cups together (43 - 9) ........ 7x + 5(6 - x) = 34

DAY 364

Glenn and Steve took turns driving on a trip to Boston. Glenn drove the first 40 miles, and Steve drove the rest of the way to Boston. On the way back, Glenn started to drive, and then Steve drove the last 50 miles. Who drove more, and how much more?

Answer:

Steve drove 20 miles more than Glenn ........ It does not matter how far the trip is to Boston. Assume the distance is 60 miles each way. Glenn drives 40 miles on the way there and 10 miles on the way back for a total of 50 miles. Steve drives 20 miles on the way there and 50 miles on the way back for a total of 70 miles. The 20 mile difference does not change no matter how long the distance.

DAY 363

Two typists type two pages in two minutes. How many typists would it take to type 18 pages in 6 minutes.

Answer:

6 typists ......... One typist types one page in two minutes. One typist types 3 pages in 6 minutes. 6 typists type 18 pages in 6 minutes.

DAY 362

Your favorite candy bar maker is having a special - ten candy bar wrappers gets you a free candy bar. What fraction of a bar is each wrapper worth?

Answer: The intuitive answer of 1/10 is not correct. This is because the free candy bar also has a wrapper. So you are getting the free bar for only nine wrappers. Each wrapper is worth 1/9 of a bar.

Algebra:

Let w = wrapper

Let b = bar

10w = b +w

9w = b

w = b/9

DAY 361

This expression uses the digits 1 -9, once each:

58 x 3 = 174 = 29 x 6

DAY 360

120 people are at a party. 2/3 of them are married. 3/5 of them are women. How many single women are at the party? How many single men? (Married means one man married to one woman.)

Answer:

32 single women .......... 2/3 x 120 = 80 people are married. 40 men and 40 women

...................................... 3/5 x 120 = 72 women at the party .................... 72 - 40 = 32

8 single men................. 120 - 72 = 48 men at the party ............... 48 -40 = 8

DAY 359

What is the only two-digit number that is both a perfect square and a perfect cube?

Answer:

64 (8 squared and 4 cubed)

DAY 358

I am a two-digit number. The sum of my digits is 11, and I am evenly divisible by both 4 and 7. Who am I?

Answer:

56