Felicia is working on the following problem: There are 730 balls to be put into packages of 3. How many packages can be made, and how many balls will be left over? Here are Felicia's ideas:
One hundred packages of balls will use 300 balls. After another 100 packages, we will have used up 600 balls. Another 30 packages will use another 90 balls, for a total of 690 balls used. Ten more packages brings us to 720 balls used. Three more packages will bring us to 729 balls used, with 1 ball left over. All together we could make
Write equations as in the text that correspond to Felicia's work. Explain how your equations show that 730 + 3 has whole number quotient 243, remainder 1.
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
Mathematics for Elementary Teachers with Activities (5th Edition)
Additional Math Textbook Solutions
A Survey of Mathematics with Applications (10th Edition) - Standalone book
Finite Mathematics (11th Edition)
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book
Thinking Mathematically (6th Edition)
Discrete Mathematics and Its Applications ( 8th International Edition ) ISBN:9781260091991
- If a man has 4 sweaters and 5 pairs of slacks, how many different outfit can he wear?arrow_forwardHector wants to place billboard advertisements throughout the county for his new business. How many ways can Hector choose 15 neighborhoods to advertise in if there are 30 neighborhoods in the county?arrow_forwardAlice and Bill have four grandchildren, and they have three framed pictures of each grandchild. They wish to choose one picture of each grandchild to display on the piano in their living room, arranged from oldest to youngest. In how many ways can they do this?arrow_forward
- Over the past year, John has purchased 30 books. In how many ways can he pick four of these books and arrange them, in order, on his nightstand bookshelf? In how many ways can he choose four of these books to take with him on his vacation at the shore?arrow_forwardA commuter must travel from Ajax to Barrie and back every day. Four roads join the two cities. The commuter likes to vary the trip as much as posible, so she alwaysleaves and returns by different roads. In how many different ways can she make the round-trip?arrow_forwardHow many ways can 4 men and 4 women stand in line if all the women are first?arrow_forward
- A forester is making a gasoline-oil mixture for a chainsaw engine. The forester has 2 gallons of a mixture that is 32 parts gasoline and 1 part oil. How many gallons of gasoline should the forester add to bring the mixture to 50 parts gasoline and 1 part oil?arrow_forwardIn a bag, a child has 325 coins worth $19.50. There were three types of coins: pennies, nickels, and dimes. If the bag contained the same number of nickels as dimes, how many of each type of coin was in the bag?arrow_forwardLaurie was completing the treasurer’s report for her son’s Boy Scout troop at the end of the school year. She didn’t remember how many boys had paid the $15 full-year registration fee and how many had paid the $10 partial-year fee. She knew that the number of boys who paid for a full-year was ten more than the number who paid for a partial-year. If $250 was collected for all the registrations, how many boys had paid the full-year fee and how many had paid the partial-year fee?arrow_forward
- Bonita has $2.95 in dimes and quarters in her pocket, If she has 5 more dimes than quarters, how many of each coin does she have?arrow_forwardEli is making a party mix that contains pretzels and chex. For each cup of pretzels, he uses three cups of chex. How many cups of pretzels and how many cups of chex does he need to make 12 cups of party mix?arrow_forwardFour-fifths of the people on a hike are children. If there are 12 children, what is the total number of people on the hike?arrow_forward
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning