Printer Ink
A small ink cartridge has enough ink to print 600 pages. How many pages can be printed using a large ink cartridge?
Age
11 to 14
Challenge level
Problem
A small ink cartridge has enough ink to print $600$ pages.
Three small ink cartridges can print as many pages as two medium cartridges.
Three medium cartridges can print as many pages as two large cartridges.
How many pages can be printed using a large cartridge?
If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.
Student Solutions
Answer: 1350 pages
If a small cartridge can print $600$ pages, three small cartridges can print
$3 \times 600 = 1800$ pages.
This is the same as two medium cartridges, so a medium cartridge can print
$1800 \div 2 = 900$ pages.
Three medium cartridges can therefore print
$3 \times 900 = 2700$ pages.
This is the same as two large cartridges, so a large cartridge can print
$2700 \div 2 = 1350$ pages.