151. Mrs. Jones is 32 years older than her daughter. Six years ago, she was exactly three times as old as her daughter. What are the correct ages of
Mrs. Jones and her daughter?

Mrs. Jones is 54; her daughter is 22. Let the daughter's age = x and Mrs. Jones age = 32 + x. Then, 6 years ago: 32 + x - 6 = 3(x - 6) 26 + x = 3x - 18 2x = 44 x = 22 32 + x = 54 (Mrs. Jones) x = 22 (daughter).

152. If each of the letters below is represented by a number between 1 and 9
inclusive, and no letter shares the same value as a different letter, can you determine the values of the letters A and E in this subtraction problem?

A B C D E

- __E G H I A__

Q B Z A

A = 9 and E = 8. We know from the left-hand column that A must be greater than E by one unit since nothing is left over (zero) after E is subtracted from A (one unit was borrowed from A to be used in the next column.) We know from the right-hand column that E must be an even number since A + A = E. Here are the possibilities: E: 2, 4, 6, 8 A: 6, 7, 8, 9 Only E = 8 and A = 9 meet the requirement that A is one unit greater than E.

153. If 4 oranges and 6 apples cost $1.30, and 6 oranges and 4 apples cost $1.20, how many oranges can you buy for $1.00?

10, (oranges cost $.10 each).

154. Jim, Jack and Joe had collected baseball cards for years and each had
the same number of cards. They decided to sell them together. Each sold half of what he had in the first hour. Then they had a few more sales
at their booth before closing. Jack had one-fourth of his originals left, Jim had one-half of his originals and Joe had two left, one-eighth of his originals.
How many did they start out with together?

48. If Joe had 2 left, which is one-eighth of his originals, then he had 2 x 8 originally or 16. Since they all had the same amount to start with, then 3 x 16 = 48.

155. Can you determine how this sequence of numbers is arranged?

2 3
6 7
1 9
4 5 8

Spell out each of the numbers and you will find that the sequence is in reverse alphabetical order.

156. At a party, 1/5 of the people departed early. Later, 1/3 of the
remaining guests departed. Much later, 3/4 of those guests departed. If two people were left, how many people were originally at the party?

15. When 1/5 left, 4/5 of the people remained. When 1/3 left, 2/3 of 4/5 remained. When 3/4 of the remaining people left, 1/4 of 2/3 or 4/5 remained. 1/4 x 2/3 x 4/5 = 8/60 = 2/15. Since there were two people left, there were originally 15 people.

157. If 6 puzzle makers can compose nine puzzles in a day and a half, how many puzzle makers does it take to compose 270 puzzles in thirty days?

Nine puzzle makers. Each puzzler can compose one puzzle per day.

158. A farmer goes to the market with $100 cash. He has to buy exactly 100 animals. There are cows, geese and chicken for sale. A cow costs $15, a goose is $1 and a chicken
costs $0.25. He has to buy at least one of each animal and has to spend all his money. What does the farmer buy?

3 cows, 41 geese and 56 chicken.

159. You bought 2 antique lamps for $50 each. Later, you were offered $60
for one and you sold it, changed your mind when you saw its duplicate being sold for more, and bought it back for $70. You then sold it for $80. The
first one didn't sell at all so you reduced it by 10% below what you originally paid and managed to sell it. Did you make or lose money on the deal, and
how much?

You made $15. You must treat each transaction separately, then just add the profits and loses. The fact that you bought and sold the same lamp twice is irrelevant.

160. You have 1,432 feet of fence that must be strung out in a straight line.
A fence post must be placed for every 4 feet of fence, so how many fence posts will be needed?

359. If you answered 358, you must remember that the fence must begin and end with a post, dividing 1,432 by 4 leaves one end without a post.