7. At a certain company all Type A printers work at one constant rate and all Type B printers work at another constant rate. If 12 Type A printers print 840000 pages in 8 hours and 8 Type B printers print 720000 pages in 8 hours what is the total number of pages that 4 Type A and 3 Type B printers will print together in 12 hours?
Answer: E
825000
To find the total number of pages that 4 Type A and 3 Type B printers will print together in 12 hours, we first determine the rates of each type of printer and then calculate the combined output over the specified time.
A) 550000
This option is incorrect because it underestimates the total output calculated from the rates of the Type A and Type B printers. Based on the calculations, 550000 pages cannot be produced by the given number of printers in the designated time.
B) 625000
Option B is not correct as it also falls short of the calculated total output. The rates of the printers indicate a higher productivity than this option suggests, thus failing to account for the full potential of the printers.
C) 700000
This choice is incorrect as it does not align with the calculated output from the Type A and Type B printers. The combined printing capability over 12 hours yields a total that exceeds 700000 pages, making this option insufficient.
D) 775000
Option D is incorrect because it still does not match the calculated total output of the printers. The rates derived from the given information indicate that the final number should be higher than 775000 pages.
E) 825000
This option is correct as it accurately represents the total number of pages that 4 Type A and 3 Type B printers can print together in 12 hours. The calculations show that when combining the outputs of both types of printers, this total is achievable.
Conclusion
The correct answer of 825000 pages reflects the total output calculated from both the Type A and Type B printers working together over the specified time. All other options fail to accurately represent the productivity based on the printers' rates, thus confirming that E is the only viable answer in this context.