Answer:
Step-by-step explanation:
If all were comedy acts, the 12 of them would take 36 minutes. To make the show last 14 minutes longer, there must be 7 singing acts, since each adds 2 more minutes to the show than does a comedy act.
There are 7 singing acts and 5 comedy acts in the show.
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If you need an equation, let s represent the number of singing acts. Then the show length is ...
5s +3(12 -s) = 50
2s + 36 = 50 . . . . . eliminate parentheses
2s = 14 . . . . . . . . . . subtract 36 (the time for 12 comedy acts)
s = 7 . . . . . . . . . . . . divide by 2. This is the number of singing acts.
12 -s = 5 . . . . . . . . . the rest of the acts are comedy acts
Answer:the number of singing acts is 7
the number of comedy acts is 5
Step-by-step explanation:
Let x represent the number of singing acts in the talent show.
Let y represent the number of comedy acts in the talent show.
The total number of acts in the talent show is 12. This means that
x + y = 12
In the talent show of singing and comedy acts, singing acts are 5 minutes long and comedy acts are 3 minutes long. The show lasts for 50 minutes. This means that
5x + 3y = 50 - - - - - - - - - -1
Substituting x = 12 - y into equation 1, it becomes
5(12 - y) + 3y = 50
60 - 5y + 3y = 50
- 5y + 3y = 50 - 60
- 2y = - 10
y = - 10/-2 = 5
Substituting y = 5 into x = 12 - y, it becomes
x = 12 - 5 = 7
