Homework 4, Spring 1998 Math 366 Homework 4 - Spring 1998

Math 366, Spring 1998, Homework Four

Name:________________________ Due Friday, February 6.

In each problem give a concise explanation of your solution. Imagine that you are explaining your solution to a bright 12 year old.

  1. You go to the Gap and buy a $35 sweater and a $10 belt. Then you go to Bissinger's and buy $7 worth of fudge and a $6 candy assortment. Finally, you go to Walden Books and buy a $21 math book.
    1. How much did you spend all together?
    2. How much did you spend at each store?
    3. How much did the three stores together receive from you?

  2. A roll of carpet contains 154 yards.
    1. There were sold from it 30 yards, 44 yards, 15 yards and 18 yards. How much remained?
    2. Four customers each bought 17 yards (from the 154 yard roll). How much remained?
    3. How many customers can each buy 17 yards (from the 154 yard roll)?

  3. You hire three workers - one at $80 a day, one at $70 a day and one at $50 a day. How much do you pay them in a week (= 5 days)? Explain how to reach the answer in two ways: in terms of what you pay the three workers per day, and in terms of what you pay each worker for the week.

    1. There are 96 trees in an orchard, and 12 trees in each row. How many rows are there?
    2. You have 96 pieces of candy to hand out to 24 children. How many pieces does each child get?
    3. You have 96 pieces of candy. You hand 6 pieces of candy to each person entering the room. How many people will receive candy?

    1. If 6 pounds of hamburger cost $12, what will 8 pounds cost?
    2. A farmer traded 5 sheep at $90 each and 2 cows at $600 each, for pigs at $50 each. How many pigs did the farmer get?
    3. A grocer buys 15 bottles of wine for $100. To make a total profit of $20, how much must the grocer charge per bottle?

  6. The temperature is at 30 degrees F.
    1. It drops 6 degrees each of the next 3 days. Express the total change of temperature as a sum of negative numbers. What is the temperature now?
    2. The fourth day the temperature rises by twice the total change of the previous 3 days. Express the change as the product of negative numbers and explain it. What is the temperature now?

    1. In how many ways can Sara, Tyler, Diana, Joanna and Adam be assigned to the positions of President, Vice President and Treasurer?
    2. How many distinct teams of 3 members can be formed out of these five people?

  8. Find the prime factorization of 1140 and 45,045.

  9. List all the factors of 147; of 484. How many are there in each case?