Question

Create a system of equations to represent the word problem. Then solve using the linear combination/elimination method. Show all your work. Adam's Printing Inc. has two types of printing presses: Model A and Model B. Model A can print 80 books per day and Model B can print 55 books per day. Altogether Adam has 9 printing presses. If he can print 670 books in a day, then how many of each press does he have?

Answer 1

Answer:

Solution given:

model A printers [a] prints=80books per day

model B printers [b] prints=55books per day

total no of printers =9

no of model A printers be x

and

no of model B printers be [9-x]

According to the question;

ax+(9-x)b=670 books

substituting value of a and b; we get

80x+(9-x)55=670

80x-55x+495=670

25x=670-495=175

x=$\frac{175}{25}$=7

So;

no of model A printers =x=7

no of model B printers =9-x=9-7=2

is your answer.

Answer 2

GIVEN:

• Model A:— 80books/day. (a)
• Model B:— 55books/day. (b)

ANSWER:

Let number of progression Model A be x then Model B be (9 - x).

According to question,

• ax + (9 - x)b = 670

Plugging the respective value.

• 80x + (9 - x)55 = 670
• 80x - 55x + 495 = 670
• 25x = 670 - 495
• 25x = 175
• x = 7.

Therefore, No. of Model A printers is 7 and No. of Model B printers is 2.