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 50 pounds and each large box of paper weighs 80 pounds. A total of 19 boxes of paper were shipped weighing 1280 pounds altogether.
Find :
Determine the number of small boxes shipped and the number of large boxes shipped.
Calculations :
Let "S" be small boxes and "L" be large boxes.
Small box + Large box = 19
50S + 80L = 1280
→ 5S + 8L = 128
→ 5 (19 - L) + 8L = 128
→ 3L = 128 - 95
→ L = 33/3
→ L = 11ㅤㅤ
Finding the small box:
→ S = 19 - L
→ S = 19 - 11
→ S = 8
Therefore ,
Large boxes = 11.
Small boxes = 8.
orrrrrr
The number of small boxes is 8 and that of the large boxes is 11.
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. (Answer)