HW  #96               Name:    _______________________________  Using  Common  Percents    Directions:        Solve  using  the  5-­‐D  process.    1.    

           Describe/Draw:                Define   Do   Decide        

   

 

                                     

                                 

   

 Declare:                                                            

Chapter 5: Probability and Solving Word Problems 567

5-144. The number of girls at Middle School

Cyber Summer Camp was six more than twice the number of boys. There were a total of 156 middle school students at the camp. Use the 5-D Process to find the number of boys and the number of girls at camp. [ 50 boys and 106 girls ]

5-145. Copy and complete each of the Diamond Problems below.

The pattern used in the Diamond Problems is shown at right. [ See answers in bold in the diamonds below. ]

a. b. c. d. 5-146. Multiple Choice: Which of the following expressions could be used to find the

average (mean) of the numbers k, m, and n? [ C ]

A. k +m + n B. 3 k +m + n( ) C. k+m+n3 D. 3k +m + n

5-147. The Giant Prize Wheel at the county fair is evenly divided into 10 sections. One is

labeled “Large Prize,” three are labeled “Small Prize,” and the rest are labeled “No Prize.”

a. If you spin once, what is the probability of winning a large prize? [ 110 ]

b. If you spin once, what is the probability of winning any prize? [ 410 = 25 ]

c. If 50 people spin the prize wheel, approximately how many people should expect to win a prize of any kind? [ 20 people ]

0 0 6

6

–16 8 –2

6

–16 4 –4

0

52 5.2 10

15.2

xy x y

x+y

Chapter 5: Probability and Solving Word Problems 567

5-144. The number of girls at Middle School

Cyber Summer Camp was six more than twice the number of boys. There were a total of 156 middle school students at the camp. Use the 5-D Process to find the number of boys and the number of girls at camp. [ 50 boys and 106 girls ]

5-145. Copy and complete each of the Diamond Problems below.

The pattern used in the Diamond Problems is shown at right. [ See answers in bold in the diamonds below. ]

a. b. c. d. 5-146. Multiple Choice: Which of the following expressions could be used to find the

average (mean) of the numbers k, m, and n? [ C ]

A. k +m + n B. 3 k +m + n( ) C. k+m+n3 D. 3k +m + n

5-147. The Giant Prize Wheel at the county fair is evenly divided into 10 sections. One is

labeled “Large Prize,” three are labeled “Small Prize,” and the rest are labeled “No Prize.”

a. If you spin once, what is the probability of winning a large prize? [ 110 ]

b. If you spin once, what is the probability of winning any prize? [ 410 = 25 ]

c. If 50 people spin the prize wheel, approximately how many people should expect to win a prize of any kind? [ 20 people ]

0 0 6

6

–16 8 –2

6

–16 4 –4

0

52 5.2 10

15.2

xy x y

x+y

Directions:    Use  the  order  of  operations  to  evaluate  the  following  expressions.  2.                                                            21− 62 + 5 3( )2        

3.    

                                                          25⋅15 +12 ÷ 3⋅2  

                   

 Directions:    Write  down  the  combination  of  common  percents  (50%,  25%,  20%,  10%,  1%)  you  will  use  to  find  each  part.    Solve  using  these  percents.    4.    What  is  51%  of  $220?      

 5.    What  is  90%  of  $120?                  

 6.    What  is  5%  of  $30?                    

 7.    What  is  30%  of  $75?  

 8.    What  is  110%  of  $56?  

 9.    What  is  9%  of  $5,000?