A printer can print 24000 pages in 2 hours.
a) if the printer starts printing at 2:30 pm, how many pages will be printed by 5:15 pm?
b) if the cost of printing pages is $12.50, what is the cost of printing per minute?
For the first one I got 33000 pages and for the second one I got $5 per minute
is it correct?
2:30 ---> 5:15 = 2.75 hours
at 12000 pages per hour ----> 2.75(12000) = 33000 , you had that
for b), divide your cost of $12.50 by 2.75 hours to get the cost per hour.
Divide that by 60 to get the cost per minute
I think I got 33000 correct but I am not sure about the second one
cost of printing how many pages?
about .08 cents?
Let's break down each question and explain the steps to find the answers:
a) To find the number of pages printed between 2:30 pm and 5:15 pm, we first need to calculate the time difference in hours.
Step 1: Convert 2:30 pm and 5:15 pm to 24-hour format:
- 2:30 pm = 14:30
- 5:15 pm = 17:15
Step 2: Calculate the time difference in hours:
- 17:15 - 14:30 = 2 hours and 45 minutes
- Since 45 minutes is 3/4 of an hour, we can add 3/4 to the 2 hours:
- 2 hours + 3/4 hours = 2.75 hours
Step 3: Calculate the number of pages printed in 2.75 hours:
- If the printer can print 24,000 pages in 2 hours, we can set up a proportion to find the number of pages printed in 2.75 hours:
- 2 hours = 24,000 pages
- 2.75 hours = x (pages to be found)
Cross-multiplying:
- 2 * x = 2.75 * 24,000
- x = (2.75 * 24,000) / 2
- x = 33,000 pages
Therefore, the correct answer is that 33,000 pages will be printed by 5:15 pm.
b) To calculate the cost of printing per minute, we need to find the cost of printing per hour and then convert it to per minute.
Step 1: Calculate the cost of printing per hour:
- The cost of printing pages is given as $12.50.
- The printer can print 24,000 pages in 2 hours.
- Therefore, the printer can print 24,000 / 2 = 12,000 pages per hour.
To find the cost of printing per hour, we can set up a proportion:
- 12,000 pages = $12.50
- 1 hour = x (cost to be found)
Cross-multiplying:
- 1 * x = 12 * 12.50
- x = 150
Therefore, the cost of printing per hour is $150.
Step 2: Convert the cost of printing per hour to per minute:
- There are 60 minutes in an hour.
- To calculate the cost of printing per minute, we divide the cost per hour by 60.
- Cost per minute = $150 / 60
- Cost per minute = $2.50
Hence, the correct answer is that the cost of printing per minute is $2.50, not $5.