Math 3C Winter 2009 HW Supplement #3: Solving Word Problems in Algebra & Arithmetic, Assignments of Pre-Calculus

Download Math 3C Winter 2009 HW Supplement #3: Solving Word Problems in Algebra & Arithmetic and more Assignments Pre-Calculus in PDF only on Docsity! Math 3C Winter 2009 Name: Homework Supplement #3 Section _________________________________ DUE: Tuesday, January 27, 2009 Students: Please print this PDF, do your work on those pages, and turn them in to your TA on the due date. Solve each word problem. Clearly identify variables and show work. 1. Three more than twice a certain number is 57. Find the number. 2. One-fourth of a number is 3 greater than one-sixth of it. Find the number. 3. Gus is 5 years younger than his brother, and 8 years from now he would be four-fifths as old as his brother is (at that time). How old is each now? 4. A parking-meter slot receives dimes and nickels. When emptied, the box produced 70 coins worth $4.85. How many nickels and how many dimes were there? 5. A cashier has four times as many nickels as quarters. She has $3.60. How many of each coin does she have? Math 3C Winter 2009 Name: Homework Supplement #3 Section _________________________________ DUE: Tuesday, January 27, 2009 6. Joe has received an 11% increase in salary. His new weekly earnings are $222. What was his previous weekly salary? 7. At the end of the year, a car dealer advertises that the list prices on all of last year’s models have been discounted by 15%. What was the original price of the car that now carries a discounted price of $6,849.30? 8. A tire was sold for $35.65, which included the 4% state sales tax and an 11% federal tax. What was the original price of the tire before the taxes? 9. A small company had $24,000 to invest. It invested some of the money in a bank that paid 8% annual simple interest. The rest of the money was invested in stocks that paid dividends equivalent to 11% annual simple interest. At the end of 1 year, the combined income form these investments was $2,340. How much was originally invested in stocks? 10. The length of a rectangular house lot is twice the width, and the difference between the length and the width is 32 meters. What are the dimensions of the lot?