DAY 369

Every resident of Sponge City owns one, and only one, car. Every license plate is different and consists of one letter (A - Z) and one single-digit number (0 - 9). Either the letter or the number can come first. If every possible combination is used, how many people live in Sponge City?

Answer:

520 ........... 26 X 10 = 260 / 260 X 2 = 520 (since the letter and number can come in either order)

DAY 368

John and Mary each have a number of widgets. Mary said to John, "If you give me one widget, I'll have twice as many as you, but if I give you one widget, we'll each have the same number." How many widgets did each one have?

Answer:

Mary had 7 and John had 5 ....... If giving one widget to John will make their numbers equal, Mary must have two more widgets than John. If x = the number of John's widgets, then x + 2 = the number of Mary's widgets ........... (x + 2) + 1 = 2(x - 1)

DAY 367

Bill filled the tank of his car with 12 gallons of gas. The tank immediately sprang a leak. Bill drove at 50 miles per hour and ran out of gas 4 hours later. His car gets 25 miles per gallon.

How much gas did Bill lose?

Answer:

4 gallons ....... 50 mph for 4 hours = 200 miles.

At 25m/gal. = 8 gallons. 12 - 8 = 4

DAY 366

Two in a whole and four in a pair,

And six in a trio you see;

And eight's a quartet,

But what you must guess

Is the name that fits just one of me.

Answer:

one-half

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.