hello im having problems with my math
1 Wells College in Aurora,New York was previously an all -girls college.In 2005,the college began to allow boys to enroll. By 2012, the ratio of boys to girls was 3 to 7. if there were 200 more girls then boys in 2012, how many boys were enroll that year? Use a table, graph, or tape diagram to justify your Answer
2. Most television shows use 13 minutes of ever hour for commercials, leaving the remaining 47 minutes for the actual show.One popular television show wants to change the ratio of commercial time to show time to be 3:7.Create two ratio tables, one for the normal ratio of commercials to programming and another for the proposed ratio of commercials to programming. Use the ratio tables to make a statement about which ratio would mean fewer commercials for viewers watching 2 hours of television.
Thank You!
150 boys
i am having trouble too
having trouble
Sure! I can help you with both of these math problems.
1. Let's first understand the given information:
- Initially, Wells College was an all-girls college.
- In 2005, the college started allowing boys to enroll.
- By 2012, the ratio of boys to girls was 3 to 7.
- In 2012, there were 200 more girls than boys.
To find out how many boys were enrolled in 2012, we can set up a table:
Boys Girls
2005 n/a n/a
2012 3x 7x
We don't know the value of "x" yet. But we do know that there were 200 more girls than boys, so we can set up an equation:
7x - 3x = 200
Simplifying the equation:
4x = 200
Dividing both sides by 4:
x = 50
Now that we know the value of "x," we can find the number of boys enrolled in 2012:
Number of boys = 3x = 3 * 50 = 150
Therefore, there were 150 boys enrolled in Wells College in 2012.
2. Let's create two ratio tables to compare the normal and proposed ratios of commercials to programming.
Normal ratio:
Time Commercials Programming
1 hour 13 min 47 min
2 hours 26 min 94 min
Proposed ratio (3:7):
Time Commercials Programming
1 hour 3 min 7 min
2 hours 6 min 14 min
From the tables, we can see that for 2 hours of television, the normal ratio of commercials to programming is 26 minutes of commercials and 94 minutes of programming. In contrast, the proposed ratio is only 6 minutes of commercials and 14 minutes of programming.
Therefore, the proposed ratio of commercials to programming would mean fewer commercials for viewers watching 2 hours of television.
I hope this explanation helps you understand how to solve these math problems! If you have any more questions or need further clarification, feel free to ask.