Certainly! Let's address this step-by-step:
1. Understand the given ratio:
- Bradley decides to include 5 pages of photographs for every 15 pages in the cookbook.
2. Establish the ratio:
- We can represent this ratio as 5 pages of photographs per 15 total pages. This can be written as the fraction [tex]\(\frac{5}{15}\)[/tex].
3. Simplify the ratio:
- Simplify [tex]\(\frac{5}{15}\)[/tex] by dividing both the numerator and the denominator by their greatest common divisor, which is 5:
[tex]\[
\frac{5 \div 5}{15 \div 5} = \frac{1}{3}
\][/tex]
- This simplified ratio ([tex]\(\frac{1}{3}\)[/tex]) represents the proportion of pages that are photographs.
4. Interpret the ratio in words:
- The simplified ratio [tex]\(\frac{1}{3}\)[/tex] tells us that for every 3 pages in the cookbook, 1 page is a photograph.
5. Determine the total number of pages in the cookbook:
- Let's assume the cookbook has 60 pages in total.
6. Calculate the number of pages of photographs using the equivalent ratio:
- Since the simplified ratio is [tex]\(\frac{1}{3}\)[/tex], we know that one-third of all pages in the cookbook will be photographs.
- To find the number of pages of photographs, multiply the total number of pages by the ratio:
[tex]\[
\frac{1}{3} \times 60 = 20
\][/tex]
7. Conclusion:
- Therefore, if Bradley includes 5 pages of photographs for every 15 pages in the cookbook, there will be 20 pages of photographs in a 60-page cookbook.
So, the ratio of 5 pages of photographs for every 15 pages is equivalent to having 20 pages of photographs in a cookbook with 60 total pages.
