tom need to buy ink cartridges and printer. each ink cartridges costs 30.00 dollars each ream of papers costs 5.00 dollars. he has 100 dollars to spend which combinations of ink cartridges and printers paper that he may purchase?
start with no ink
he can buy 20 reams of paper for $100
So, 0,20 is one pair of values.
Now, note that every ink cartridge costs as much as 6 reams of paper.
So, the other solutions are
1,14
2,8
3,2
To determine the different combinations of ink cartridges and printer paper that Tom can purchase within his budget of $100, let's break down the problem step by step:
1. Determine the number of ink cartridges Tom can buy:
Since each ink cartridge costs $30, the maximum number of ink cartridges Tom can afford is found by dividing his total budget ($100) by the cost of each ink cartridge ($30):
Number of ink cartridges = $100 ÷ $30 = 3 (rounded down from 3.33)
2. Determine the number of printer paper reams Tom can buy:
Each ream of paper costs $5, so we can find the maximum number of reams Tom can buy by dividing his remaining budget (after purchasing ink cartridges) by the cost of each ream:
Budget after ink cartridges = $100 - ($30 * 3) = $100 - $90 = $10
Number of printer paper reams = $10 ÷ $5 = 2
Therefore, Tom can purchase 3 ink cartridges and 2 reams of printer paper within his budget.
Alternatively, we can represent the combinations as (ink cartridges, printer paper reams):
(3, 2)