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3 years ago

A business with two locations buys seven large

English

1 answer:

omeli [17]3 years ago

4 0

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

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