Final answer:
Given that 20 copies cost $5, to find out how many copies could be made for $25, we use the proportion 5 dollars : 20 copies = 25 dollars : x copies, solving for x, revealing that 100 copies can be made for $25.
Step-by-step explanation:
The question seeks to establish the relationship between the cost of making copies and the number of copies that can be made, which is a common proportionality problem in mathematics. Given the rate at which copies are made at a local print shop, we can set up a simple proportion to find out how many copies could be made for $25.
According to the given information, 20 copies cost $5. To determine how many copies could be made for $25, we set up a proportion where the number of copies is directly proportional to the money spent. We can express this as:
5 dollars : 20 copies = 25 dollars : x copies
Using cross-multiplication, we get:
5x = 20 * 25
x = (20 * 25) / 5
x = 100
Therefore, 100 copies can be made for $25 at the local print shop, maintaining the same rate as 20 copies for $5.