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Sagot :
Answer: price of a large van = $35000
price of a small van = $30000
Explanation:
Let the price of a large van = x
Let the price of a small van = y
Since A receives 5 large vans and 2 small vans for a total cost of $235,000. Location B receives 2 large vans and 3
small vans for a total cost of $160,000. This can be written as:
5x + 2y = 235000 ........ i
2x + 3y = 160000 ........ ii
Multiply equation i by 2
Multiply equation ii by 5
10x + 4y = 470000 ..... iii
10x + 15y = 800000 ..... iv
Subtract iii from iv
11y = 330,000
y = 330000/11.
y = 30,000
From equation I,
5x + 2y = 235000
5x + 2(30000) = 235000
5x + 60000 = 235000
5x = 235000 - 60000
5x = 175000
x = 175000 / 5
x = 35000
Therefore, price of a large van = 35000
price of a small van = 30000
The price of a large van, x and price of a small van, y is $35,000 and $30,000 respectively
Given:
large van = x
small van = y
Location A
5x + 2y = 235,000
Location B:
2x + 3y = 160,000
5x + 2y = 235,000 (1)
5x + 2y = 235,000 (1)2x + 3y = 160,000 (2)
multiply (1) by 3 and (2) by 2
15x + 6y = 705,000 (3)
4x + 6y = 320,000 (4)
subtract (4) from (3)
15x - 4x = 705,000 - 320,000
11x = 385,000
x = 385,000 / 11
x = 35,000
substitute x into (2)
2x + 3y = 160,000
2(35,000) + 3y = 160,000
70,000 + 3y = 160,000
3y = 160,000 - 70,000
3y = 90,000
y = 90,000 / 3
y = 30,000
Therefore, the price of a large van, x and price of a small van, y is $35,000 and $30,000 respectively.
Learn more about equation here:
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