1) The sum of digits of the three digit number is 12. Tens digit is 2 less than hundreds digit, and units digit is 4 less than sum of other two digits. What is the number ?

2) Perimeter of the triangle is 19 cm. If length of longest side is twice that of shortest side and 3 cm less than  sum of lengths of other two sides. Determine the lengths of three sides.

3) Goofie Golf has 18 holes which are par 3, par 4 or par 5. Most of the holes are par 4. In fact, there are three times as many par 4s as par 3s . There are 3 more par 5s than par 3s. How many of each kind are there ?

4) Combining peanuts , pecans and cashews makes the party mixture of nuts. If amount of peanuts equals amount of pecans and cashews combined and if there are twice as many cashews as pecans how many ounces of every nut is utilized to make 48 oz of party mixture ?

5) Souvenir hats , t-shirts and jackets are sold at rock concert. Three hats , two shirts , and one jacket cost $140. Two hats , two t-thirts , and two jackets cost $170. One hat , three t-shirts and two jackets cost $180. Determine prices of the individual items.

6) In 2002, Baylor University in Waco, Texas had twice as many students as Vanderbilt University in Nashville, Tennessee. Pace University in New York City had 2800 more students than Vanderbilt University. If the enrollment for all 3 schools totaled 27200, determine enrollment for each school.