asanjis 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

Question

2 years ago

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asanjis 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 60 books per day. altogether asanji has 18 printing presses. if he can print 1260 books in a day, then how many of each press does he have

Mathematics

1 answer:

Jet001 [13] · Answer 1 · 2022-09-11T09:10:45+03:00

Answer:

model a: 9 presses

model b: 9 presses

Step-by-step explanation:

let x=model a and y=model b.

If asanji has 28 printing presses, we can say that x+y=18.

If he can print 1260 books in a day, we can say that 80x+60y=1260.

Now, We can solve the system of equation by solving an equation in terms of any variable. You can choose any variable. I chose x. x+y=18, So if we subract y from each side, we get x=18-y. Now, we can substitute that in the other equation. Thus, 80(18-y) +60y=1260. If we continue to solve for y, 1440-80y+60y=1260, 1440-20y=1260, subtract 1440 from each side, which gives you -20y=-180, and divide - 20 and you get y=9. Now, substitute the 9 in the x+y=18 to find x. Thus, x+9=18, and x=9. So, Asanji has 9 press of Model A and 9 presses of Model B.