Given AD = 7x , AB = 3x and the perimeter is 160. Find X.
1 answer:
Answer:
x = 8
Step-by-step explanation:
The complete question illustrates that the rectangle has sides ABCD and I've represented it as an attachment.
We have that:
AB = 3x
AD = 7x
The perimeter is calculated as:
Perimeter = 2 * (AB + AD)
Substitute values for AB, AD and Perimeter
160 = 2 * (3x + 7x)
160 = 2 * 10x
160 = 20x
Divide both sides by 20
8 = x
x = 8
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Answer:
James bought 11 good tickets and 5 bad tickets.
Step-by-step explanation:
Given that:
Cost of each good ticket = $8
Cost of each bad ticket = $5
Total amount spent = $113
Total tickets bought = 16
Let,
x be the number of good tickets bought
y be the number of bad tickets bought
x+y=16 Eqn 1
8x+5y=113 Eqn 2
Multiplying Eqn 1 by 5
5(x+y=16)
5x+5y=80 Eqn 3
Subtracting Eqn 3 from Eqn 2
(8x+5y)-(5x+5y)=113-80
8x+5y-5x-5y=33
3x=33
Dividing both sides by 3
Putting x=11 in Eqn 1
11+y=16
y=16-11
y=5
Hence,
James bought 11 good tickets and 5 bad tickets.