Find the number of representatives of each state.
Answer to Problem 3MPS
Number of representatives from California = 45
Number of representatives from New York = 34
Number of representatives from Carolina = 11
Explanation of Solution
Given:
The number of representatives to Congress from California is equal to the sum of the number of representatives from New York and North Carolina .Together the three states have 90 representatives. The number from New York is 23 more than the number from North Carolina.
Calculation:
Let,
Number of representatives from California = x
Number of representatives from New York = y
Number of representatives from Carolina = z
The number of representatives to Congress from California is equal to the sum of the number of representatives from New York and North Carolina .
So, x = y + z ..........................(1)
Together the three states have 90 representatives.
So, x + y + z = 90………..(2)
The number from New York is 23 more than the number from North Carolina.
So, y = z + 23 ..........................(3)
Substitute the value of x and y from equation (1) and (3) in equation (2):
Now,
y = z + 23 = 11+23 = 34
x = y + z = 34 + 11 = 45
Hence ,
Number of representatives from California = x = 45
Number of representatives from New York = y = 34
Number of representatives from Carolina = z = 11
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