Adult tickets for the school musical are sold for $3.50 and student tickets are sold for $2.50 on a given night 425 tickets were
1 answer:
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Alright, lets get started.
Lets check each possible answer one by one.
We will start from option B.
BC is from small triangle and its corresponding side is DF, so its ratio will be not
as given in option. Hence option B is incorrect.
For option C,
Angle a° and angle f° are not similar angles, if they were similar, then only their ratio will be 1 otherwise not 1. Hence option C is incorrect.
For option D,
Angle c° and angle f° are similar angles so, their ratio will be . Hence option D is incorrect.
Now option A,
ED and AB are corresponding sides. ED is from bigger triangle and AB is from smaller triangle. Their ratio will be . Hence option A is correct answer.
Hope it will help :)
Answer:
The number of girls participated in quiz is 40 .
Step-by-step explanation:
Given as :
Total number of students took quiz = 100
Average score of 100 students = 76 points
The Average score of boys = 80 points
The Average score of girls = 70 points
Let The number of boys participated in quiz = b
Let The number of girls participate in quiz = g
Now, According to question'
Total number of students took quiz = number of boys participated in quiz + number of girls participated in quiz
Or, b + g = 100 ........A
<u>Again</u>
∵ Average score of 100 students = 76 points
∴ Total score of 100 students = 76 × 100 = 7600
So, Average score of boys × number of boys participated + Average score of girls × number of girls participated = Total score of 100 students
Or, b × 80 + g × 70 = 7600
Or, 80 b + 70 g = 7600 .........B
Now, Solving equation A and B
(80 b + 70 g ) - 70 ×( b + g ) = 7600 - 70 × 100
I.e (80 b - 70 b) + (70 g - 70 g) = 7600 - 7000
Or, 10 b + 0 = 600
∴ b =
i.e b = 60
So, The number of boys participated in quiz = b = 60
Put the value of b into eq A
∵ b + g = 100
So, g = 100 - b
Or, g = 100 - 60
i.e g = 40
So, The number of girls participated in quiz = g = 40
Hence, The number of girls participated in quiz is 40 . Answer