On a string of 33 pearls, the middle pearl is the largest and most expensive of all. Starting from one end, each pearl is worth $100 more than the one before, up to the middle. From the other end, each pearl is worth $150 more than the one before, up to the middle. The string of pearls is worth $65,000. What is the value of the middle pearl?
Alternate Problem 26
A singer has twice as many pants as pairs of shoes in her wardrobe and three-halves as many T-shirts as pants. What is the least number of items she can have in her wardrobe in order to make a different shoes, pants, and T-shirt combination for each day of the year.
Extension Problem 26
In how many different ways can five-cent and eight-cent stamps be used to make $2.43. What are the different combinations?