Read and understand each problem CAREFULLY. Solve the following problems using POLYA'S FOUR STEP APPROACH. KINDLY EXPLAIN EACH STEP.

1. The product of the ages, in years, of three teenagers is 4590. None of the teens are the same age. What are the ages of the teenagers?
2. A hat and a jacket together costs $100. The jacket costs $90 more than the hat. What are the cost of the hat and the cost of the jacket?
3. What is the next three terms in the sequence? 2, 7, 24, 59, 118, 207, ____, _____, _____
4. Tanya has 7 pairs of socks, 7 pairs of pants and 7 shirts, one for each color of the rainbow. She wants to get a pair of socks, a pair of pants, and shirt out of her clothes drawer, and she wants to make sure they're all of different colors. If she doesn't open her yes, how many items of clothing will she have to remove in order to be sure that she'll have one of each different color? A pair of socks counts as two items of clothing ( in a pair of socks, each sock is the same color)
5. A police station has 25 vehicles of motorcycles and cars. The total number of wheels is 70. Find the number of motorcycles and cars the station has.
6. Jelma has P1850 in P20, P50 and P100 bills. If she has twice as many P100 bills as P20 bills, and five more P50 bills than P100 bills, how many of each bill does she have?
7. Three volumes of Shakespeare stand side by side on a bookshelf. Volume 1 is at the left and volume 3 is at the right. The bindings are facing you. Each cover is inch thick and each book is 1 inches thick. If a bookworm ate its way directly from page 1 of Volume 1 to the last page of volume 3, how far would it travel?
8. Maria went to the mall to shop. She went to a store, spent half of her money and then P550 more. She went to the second store, spent half of her remaining money and thenP500 more. She then had no money left. How much money did she have to begin with when she went to the first store?
9. Jarvy sells apples. He sold half his apples plus half an apple last Monday. Then he sold half his remaining apples plus half an apple last Tuesday. Again he sold half of his remaining apples plus half an apple on Wednesday. He then sold the remaining 27 apples on Thursday. How many apples did Jarvy start with?
10. By 7pm all the party guests had arrived but by 8Pm a third of them had departed. By 9pm a third of those remaining had also departed. By 10pm the same happened again and a third of those remaining had also departed. Finally the party ended at 11pm by which time a further third of those remaining had also departed and by 11pm only 16 guests still remained. How many guests were originally at the party at 7pm.