Carlos and Kristin are selling wrapping paper for a school fundraiser. Customers can buy rolls of
1 answer:
The cost of one roll of plain wrapping paper is $8 and one roll of holiday wrapping paper is $14.
Step-by-step explanation:
Let,
Cost of one plain wrapping paper = x
Cost of one holiday wrapping paper = y
According to given statement;
6x+y=62 Eqn 1
3x+10y=164 Eqn 2
Multiplying Eqn 2 by 2
Subtracting Eqn 1 from Eqn 3
Dividing both sides by 19
Putting y = 14 in Eqn 1
Dividing both sides by 6
The cost of one roll of plain wrapping paper is $8 and one roll of holiday wrapping paper is $14.
Keywords: linear equation, elimination method
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Now, the number of possible quartets without a soprano that you can have is:
Therefore, the number of quarters that contains at list one soprano will be the number of possible quarters minus the number of quarters without a soprano:
We can conclude that the director can choose a quarter which contains at least one soprano in 931 ways.
The number of possible quartets that you can get with 14 musician is:
Now, the number of possible quartets without a soprano that you can have is:
Therefore, the number of quarters that contains at list one soprano will be the number of possible quarters minus the number of quarters without a soprano:
We can conclude that the director can choose a quarter which contains at least one soprano in 931 ways.