Given f(x) and g(x) = k•f(x), use the graph to determine the value of k
1 answer:
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Answer:
252 students at the party like to dance
Step-by-step explanation:
Given:
60% of the students are girls
40% of the students like to dance
20 more boy students
Percentage of the girls in the party = 58%
To Find:
How many students now at the party like to dance=?
Solution:
Let the number of girls be g.
Let the number of total people originally be t.
We know that
----------------------------------(1)
We also know that
-----------------------------(2)
We now have a system of equation from (1) and (2)
3t=5g
------------------------(3)
50g=29t+580------------------------(4)
Substituting 3 in 4, we get
t =589
So originally there was 580 students
In this 580 students 40% liked to dance
Then the number of students liked to dance =
=>
=>
=>
=> 232
We also know that with these people, 20 boys joined, all of whom like to dance.
Now the number of students like to dance = 232+20 = 252 students