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
