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 50 pounds and each large box of paper weighs 75 pounds. There were twice as many large boxes shipped as small boxes shipped and the total weight of all boxes was 1200 pounds. Graphically solve a system of equations in order to determine the number of small boxes shipped, x, and the number of large boxes shipped, y.

Answer 1

The number of small and large boxes will be 6 and 12, respectively. And the graph is given below.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A paper organization requirements to deliver paper to a huge printing business. The paper will be sent in little boxes and enormous boxes. Every little box of paper weighs 50 pounds, and every huge box of paper weighs 75 pounds. There were two times as many huge boxes transported as little boxes delivered and the all out weight of all crates was 1200 pounds.

Let 'x' be the number of small boxes and 'y' be the number of the large boxes. Then the equations are given as,

y = 2x ...1

50x + 75y = 1200 ...2

From the equations 1 and 2, then we have

50x + 75(2x) = 1200

200x = 1200

x = 6

Then the value of 'y' will be given as,

y = 2 (6)

y = 12

The number of small and large boxes will be 6 and 12, respectively. And the graph is given below.