A business with two locations buys seven large delivery vans and five small delivery vans. Location 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. What is the
cost of each type of van? Use x for the price of a large
van and y for the price of a small van.

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.

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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

1. read the following excerpt from franklin d. roosevelt's "fireside chat 19":

on the other side of the picture, we must learn also to know that guerilla warfare against the germans in, let us say serbia or norway, us; that a successful russian offensive against the germans us; and that british successes on land or sea in any part of the world strengthen our hands.

remember always that germany and italy, regardless of any formal declaration of war, consider themselves at war with the united states at this moment just as much as they consider themselves at war with britain or russia. and germany puts all the other republics of the americas into the same category of enemies. the people of our sister republics of this hemisphere can be honored by that fact.  

the true goal we seek is far above and beyond the ugly field of battle. when we resort to force, as now we must, we are determined that this force shall be directed toward ultimate good as well as against immediate evil. we americans are not destroyers — we are builders.

analyze the effectiveness of this excerpt. how does it function within the speech as a whole? how does the structure of the excerpt to convey the speech's purpose and key points? support your argument with evidence from the speech. (10 points)