Write System of Equations from Context

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 25 pounds and each large box of paper weighs 70 pounds. A total of 21 boxes of paper were shipped weighing 1110 pounds altogether. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.

Answer 1

Step-by-step explanation:

Let x be the number of small boxes and let y be the number of large boxes

According to the first statement, a total of 21 boxes were shipped

Equation 1 will be:

x+y=21

According to 2nd statement, the total weight was 1110 and we know the weight of one small box is 25 and large box is 70

Equation 2 will be:

25x+70y=1110

Use the substitution method for solving the equation

Putting the value of x in equation 2   

25(21-y) +70y =1110 

525-25y+70y = 1110

45y = 585

Y=13 

Putting the value of y in equation 1   

x+13 = 21

X = 8

Number of small boxes shipped = 8

Number of large boxes shipped = 13