Question

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large baskets. Each small box of paper weighs 35 pounds and each large box of paper weighs 85 pounds. A total of 22 boxes of paper were shipped weighing 1370 pounds altogether. Determine the number of small boxes shipped and the number of large boxes shipped

Answer 1

There were 10 small boxes shipped and 12 large boxes shipped.

Step-by-step explanation:

Given,

Weight of each small box = 35 pounds

Weight of each large box = 85 pounds

Total boxes = 22

Total weight of shipment = 1370 pounds

Let,

Number of small boxes = x

Number of large boxes = y

According to given statement;

x+y=22    Eqn 1

35x+85y=1370    Eqn 2

Multiplying Eqn 1 by 35

$35(x+y=22)\\35x+35y=770\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(35x+85y)-(35x+35y)=1370-770\\35x+85y-35x-35y=600\\50y=600$

Dividing both sides by 50

$\frac{50y}{50}=\frac{600}{50}\\y=12$

Putting y=12 in Eqn 1

$x+12=22\\x=22-12\\x=10$

There were 10 small boxes shipped and 12 large boxes shipped.

Keywords: linear equation, elimination method

Learn more about elimination method at:

• brainly.com/question/12905000
• brainly.com/question/12918501

#LearnwithBrainly