Question

Alex’s printer can print 8 photos in 12 minutes.

Khalil’s printer can print 24 photos in 1 hour.
Which process could you use to help determine how much longer it will take Khalil’s printer to print 120 photos than Alex’s?

Answer 1

To determine how much longer it will take for Khalil's printer to print 120 photos than Alex's, we find the printing rate per minute for both printers and calculate the required time for printing 120 photos. Alex's printer takes 180 minutes, whereas Khalil's takes 300 minutes, meaning Khalil's printer will take 120 more minutes to print the same number of photos.

Step-by-step explanation:

To determine how much longer it will take Khalil’s printer to print 120 photos than Alex’s printer, we first need to find out how many photos each printer can print per minute.

Alex’s printer can print 8 photos in 12 minutes, which means that his printer prints ⅛ photos per minute (8 photos / 12 minutes = 2/3 photos per minute). Khalil’s printer can print 24 photos in 1 hour (which is 60 minutes), so his printer prints ⅛ photos per minute (24 photos / 60 minutes = 2/5 photos per minute).

Now we calculate the time it takes each printer to print 120 photos:

• Alex's printer: 120 photos × ⅝ min/photo = 180 minutes
• Khalil's printer: 120 photos × ⅚ min/photo = 300 minutes

Khalil’s printer takes 300 minutes minus Alex’s printer's 180 minutes, which results in 120 extra minutes for Khalil’s printer to print the same amount of photos.

Answer 2

`120\ minutes`

Step-by-step explanation:

step 1

Alex’s printer

we know that

print 8 photos in 12 minutes

so

by proportion

Find how long will it take the printer to print 120 photos

`(12)/(8)=(x)/(120)\\ \\x=120*12/8\\ \\x=180\ minutes`

step 2

Khalil’s printer

we know that

print 24 photos in 1 hour (60 minutes)

so

by proportion

Find how long will it take the printer to print 120 photos

`(60)/(24)=(x)/(120)\\ \\x=120*60/24\\ \\x=300\ minutes`

step 3

Find the difference

`300\ minutes-180\ minutes=120\ minutes`