A publishing company prints newspapers and magazines.Let N represent the number of newspapers and M represent the number of magazines the company can print with its daily supply of ink cartridges.0.5N+2.5M≤6000The company wants to print 8000 newspapers daily. How many magazines at most can the company print daily with the remaining number of ink cartridges?Choose 1 answer:(A) The company can print 800 magazines at most.(B) The company can print 2500 magazines at most.(C) The company can print 6000 magazines at most.(D) The company can print 8000 magazines at most.
Q. A publishing company prints newspapers and magazines.Let N represent the number of newspapers and M represent the number of magazines the company can print with its daily supply of ink cartridges.0.5N+2.5M≤6000The company wants to print 8000 newspapers daily. How many magazines at most can the company print daily with the remaining number of ink cartridges?Choose 1 answer:(A) The company can print 800 magazines at most.(B) The company can print 2500 magazines at most.(C) The company can print 6000 magazines at most.(D) The company can print 8000 magazines at most.
Understand given inequality: Understand the given inequality and what it represents.The inequality 0.5N+2.5M≤6000 represents the maximum number of newspapers (N) and magazines (M) the company can print with its daily supply of ink cartridges. The coefficients 0.5 and 2.5 represent the amount of ink used per newspaper and per magazine, respectively.
Substitute newspapers into inequality: Substitute the given number of newspapers into the inequality.The company wants to print 8000 newspapers daily. We substitute N=8000 into the inequality:0.5×8000+2.5M≤6000
Perform multiplication for newspapers: Perform the multiplication to find the amount of ink used for the newspapers.0.5×8000=4000So the inequality becomes:4000+2.5M≤6000
Subtract ink used for newspapers: Subtract the amount of ink used for the newspapers from the total ink available.To find out how much ink is left for printing magazines, we subtract 4000 from both sides of the inequality:4000+2.5M−4000≤6000−4000This simplifies to:2.5M≤2000
Divide to solve for magazines: Divide both sides of the inequality by the coefficient of M to solve for M.To find the maximum number of magazines the company can print, we divide both sides by 2.5:2.52.5M≤2.52000This simplifies to:M≤800
More problems from One-step inequalities: word problems