SOLUTION: https://ibb.co/YchRqNF

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Question 1203850: https://ibb.co/YchRqNF
Found 3 solutions by math_tutor2020, mccravyedwin, MathLover1:
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

Question:
Members of a dancing club are asked which of four Latin dances they performed most recently. Their responses are summarized in the incomplete two-way relative frequency table below.
What percent of the members are ages 31 to 50 and most recently danced the samba?

Table Provided
MerengueBachataSambaPasilloTotal
Ages 18 to 303%18%11%
Ages 31 to 507%4%1%
Ages 51 to 7510%5%7%34%
Total32%17%100%


---------------------------------------------------------
---------------------------------------------------------

I'll write A,B,C,D,E,F,G in the 7 blanks as shown below.
MerengueBachataSambaPasilloTotal
Ages 18 to 303%18%11%AB
Ages 31 to 507%4%C1%D
Ages 51 to 75E10%5%7%34%
TotalF32%G17%100%


It should be fairly clear that A or E is the best choice to start with.
I'll go with E.

Along the third row, the percentages must add to 34%
E+10+5+7 = 34
E+22 = 34
E = 34-22
E = 12
We'll replace E with 12%
MerengueBachataSambaPasilloTotal
Ages 18 to 303%18%11%AB
Ages 31 to 507%4%C1%D
Ages 51 to 7512%10%5%7%34%
TotalF32%G17%100%


Then add up the items in the first column
3+7+12 = 22
Therefore we replace F with 22%
MerengueBachataSambaPasilloTotal
Ages 18 to 303%18%11%AB
Ages 31 to 507%4%C1%D
Ages 51 to 7512%10%5%7%34%
Total22%32%G17%100%


I'll let the student take over from here.

Answer by mccravyedwin(408) About Me  (Show Source):
You can put this solution on YOUR website!
             M     B    S    P  Tot.
Ages 18-30 | 3% | 18%| 11%|  A%|  B%|    
Ages 31-50 | 7% |  4%|  C%|  1%|  D%|    
Ages 51-75 | E% | 10%|  5%|  7%| 34%|
-----------|----|----|----|----|----|    
Total      | F% | 32%|  G%| 17%|100%| 

Use the P column to find A, and the Ages 51-75 row to find E
Fill those in.
Use the Ages 18-30 row to find B and the M column to find F
Fill those in.
Use the Tot. column to find D, and the Total row to find G
Fill those in.
Use the Ages 31-50 row to find C and as a check on C use column S.

Now you can answer the question.

But one of the other tutors will probably have done it all for you
so you won't have to do a thing but copy it and turn it in.  No
learning required.

Edwin

Later: I was right. Copy it, turn it in, and learn nothing!
Still later. I was wrong! Two other tutors did it for you, not just one.
Happy copying, turning in, and nothing-learning! J

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
what percentage of the members are ages 31+to 50 and most recently danced the samba

88-C84919-4126-48-DC-90-BB-9-C73110864-A9


as you can see in the row ages 51+-75, total is 34, merengue dancers x% will be
x=34-%2810%2B5%2B7%29=12
then total in first column is 22%
then samba column total will be 100-%2822%2B32%2B17%29=29%
now you can find percentage of the members are ages 31-50 and most recently danced the samba, it will be 29-%285%2B11%29=13

same way you can fill out the table and it will be
.......ages......|merengue| bachata | samba | pasillo | total
______________________________________________________________
18-30..........|.... 3% | .... 18% |.... 11% |....... +9% |....... +41%
31-50..........|....+7% | ....... +4% | ...... 13% |...... +1% | ...... 25%
51-75..........|.. 12% |.... ++10% |.... 5% | ......++7% |.........+34%
total............| .. 22% | .... +32% |.... +29% |.... ++17% |.... 100%

so, answer is: 13% of the members are ages 31 to 50+and most recently danced the samba