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2 answers:
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Answer:
1. CYNARG
Step-by-step explanation:
This a example of Caesar's Cipher, in which each letter in the original word leads to a ciphered letter according to the following equation:
In which C is the index of the Ciphered letter in the alphabet, P is the index of the original letter and o is the offset.
Finding the offset:
O is coded B
O is the 15th letter in the alphabet, so .
B is the 2nd letter in the alphabet, so
So
PLANET:
P
P is the 16th letter in the alphabet.
So P is coded C.
L
L is the 12th letter in the alphabet:
L is coded Y(25th letter in the alphabet)
A
A is the 1st letter in the alphabet
A is coded N
N
N is the 14th letter in the alphabet
N is coded A
E
E is the 5th letter in the alphabet
E is coded R
So the correct answer is:
1. CYNARG
748 student tickets were sold.
Step-by-step explanation:
Given,
Number of tickets sold = 1360
Revenue generated = $13328
Cost of each student ticket = $8
Cost of each non student ticket = $12
Let,
x be the number of student tickets sold
y be the number of non student tickets sold
According to given statement;
x+y=1360 Eqn 1
8x+12y=13328 Eqn 2
Multiplying Eqn 1 by 12
Subtracting Eqn 2 from Eqn 3
Dividing both sides by 4
748 student tickets were sold.
Keywords: linear equation, elimination method
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