Question

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 45 pounds and each large box of paper weighs 80 pounds. There were twice as many large boxes shipped as small boxes shipped and the total weight of all boxes was 1435 pounds. Determine the number of small boxes shipped and the number of large boxes shipped.

Answer 1

Answer:

The number of small boxes is 8 and that of the large boxes is 11.

Step-by-step explanation:

Each small box of paper weighs 50 pounds and each large box of paper weighs 80 pounds. A total of 19 boxes of paper were shipped weighing 1280 pounds altogether.

Let there are x small boxes and y large boxes.

Then,

x + y = 19 ............ (1) and

50x + 80y = 1280

⇒ 5x + 8y = 128 ............... (2)

Now, solving equations (1) and (2) we get,

5( 19 - y) + 8y = 128

⇒ 3y = 128 - 95 = 33

⇒ y = 11

Now, from equation (1) we get, x = 19 - y = 19 - 11 = 8

Therefore, the number of small boxes is 8 and that of the large boxes is 11.

hope it will help you...

Answer 2

Given: A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 45 pounds and each large box of paper weighs 80 pounds. There were twice as many large boxes shipped as small boxes shipped and the total weight of all boxes was 1435 pounds.

To find: The number of small boxes shipped and the number of large boxes shipped.

Solution:

Let the number of small boxes be equal to x and the number of large boxes be equal to y. According to the question, the total weight of the boxes is 1435. Also, the weight of each small box weighs 45 pounds and each large box weighs 80 pounds.

$45x + 80y = 1435$

It is also given that twice the number of small boxes is equal to the number of large boxes.

$2x = y$

Now, on substituting y as 2x, the values of x and y are found.

$45x + 80(2x) = 1435$

$x = 7$

$y = 2x$

  $= 2(7)$

  $=14$

Therefore, the number of small boxes shipped is 7 and the number of large boxes shipped is 14.