SOLUTION: A local baseball team sold 187 tickets for a game. The ratio of adult tickets to child tickets was 3:2. The ratio of adult tickets to senior tickets was 9:2.
Part A
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-> SOLUTION: A local baseball team sold 187 tickets for a game. The ratio of adult tickets to child tickets was 3:2. The ratio of adult tickets to senior tickets was 9:2.
Part A
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Question 1207001: A local baseball team sold 187 tickets for a game. The ratio of adult tickets to child tickets was 3:2. The ratio of adult tickets to senior tickets was 9:2.
Part A
Select the diagrams that would represent the types of tickets sold.
A row of 9 squares.
A row of 7 squares.
A row of 6 squares.
A row of 5 squares.
A row of 2 squares.
Part B
Which of the following statements are true regarding the numbers of each type of ticket sold? Select all that apply.
The number of adult tickets sold was 22.
The number of adults tickets sold was 99.
The number of senior tickets sold was 22.
The number of senior tickets sold was 99.
The number of child tickets sold was 22.
The number of child tickets sold was 66. Found 2 solutions by Theo, greenestamps:Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! i think a row of 5 squares would be sufficient.
this includes a header column and a header row.
it would look like this:
tickets sold A C S T
99 66 22 187
if you don't include the headers, then a row of 4 squares would be sufficient.
the calculations would be as follows:
you are given that:
A/C = 3/2
A/S = 9/2
from this you can derive the following:
C/A = 2/3
S/A = 2/9
if you solve for C, you get C = 2A/3
if you solve for S, you get S = 2A/9
by default, A = A/1.
you are given that A + C + S = 187
by substitution, this becomes A + 2A/3 + 2A/9 = 187
multiply both sides of this equation by 9 to get 9A + 6A + 2A = 1683
combine like terms to get 17A = 1683.
solve for A to get A = 99.
you get:
A = 99
C = 2A/3 = 66
S = 2A/9 = 22
that's your solution.
from your selections, your solution will be:
The number of adults tickets sold was 99.
The number of senior tickets sold was 22.
The number of child tickets sold was 66.
