Malik is cashing his $140 paycheck and would like only $5 and $10 bills. The bank teller gives him 18 bills. What is an appropriate process for finding how many $5 bills he received? Make a tree diagram with $140 as the starting point, with 18 branches. Label 9 of the branches $5, and label 9 of them $10. Then add all the dollar values on the ends of the branches. Make two tape diagrams, one with 5 rectangles and one with 10 rectangles. Label the diagrams as "$140.{}^{\prime\prime} Divide 140 by the total number of rectangles, and label each rectangle with the result. Then add the values on the set of 5 rectangles. Make a graph with the number $5 on the x-axis and the number $10 on the y-axis. Start at 0 $5 bills and 0 $10 bills, then increase the number of $10 bills by 1 and the number of $5 bills by 2 until one of them reaches 18. Make a table with three columns, labeled "$5 bills," "$10 bills," and "Total Value." Start with 0 $5 bills, 18 $10 bills, and a total value of $180. Then increase the $5 bills by 1 and decrease the $10 bills by 1 to find the combination of bills that adds up to $140.
Malik is cashing his $140 paycheck and would like only $5 and $10 bills. The bank teller gives him 18 bills. What is an appropriate process for finding how many $5 bills he received? Make a tree diagram with $140 as the starting point, with 18 branches. Label 9 of the branches $5, and label 9 of them $10. Then add all the dollar values on the ends of the branches. Make two tape diagrams, one with 5 rectangles and one with 10 rectangles. Label the diagrams as "$140.{}^{\prime\prime} Divide 140 by the total number of rectangles, and label each rectangle with the result. Then add the values on the set of 5 rectangles. Make a graph with the number $5 on the x-axis and the number $10 on the y-axis. Start at 0 $5 bills and 0 $10 bills, then increase the number of $10 bills by 1 and the number of $5 bills by 2 until one of them reaches 18. Make a table with three columns, labeled "$5 bills," "$10 bills," and "Total Value." Start with 0 $5 bills, 18 $10 bills, and a total value of $180. Then increase the $5 bills by 1 and decrease the $10 bills by 1 to find the combination of bills that adds up to $140.
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Transcribed Image Text:Malik is cashing his $140 paycheck and would like only $5 and $10 bills. The bank teller gives him 18 bills.
What is an appropriate process for finding how many $5 bills he received?
Make a tree diagram with $140 as the starting point, with 18 branches. Label 9 of the branches $5, and label 9 of them $10. Then add all the dollar values on
the ends of the branches.
Make two tape diagrams, one with 5 rectangles and one with 10 rectangles. Label the diagrams as "$140.{}^{\prime\prime} Divide 140 by the total number
of rectangles, and label each rectangle with the result. Then add the values on the set of 5 rectangles.
Make a graph with the number $5 on the x-axis and the number $10 on the y-axis. Start at 0 $5 bills and 0 $10 bills, then increase the number of $10 bills by 1
and the number of $5 bills by 2 until one of them reaches 18.
Make a table with three columns, labeled "$5 bills," "$10 bills," and "Total Value." Start with 0 $5 bills, 18 $10 bills, and a total value of $180. Then increase the
II
$5 bills by 1 and decrease the $10 bills by 1 to find the combination of bills that adds up to $140.
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