Mr. Wells runs a telecommunications company. While going through the company's project records, he found that there were 8 engineers under every team leader and 5 project managers for every 50 engineers. Mr. Wells currently employs 15 team leaders. How many project managers are employed by Mr. Wells?
The total number of engineers employed by Mr. Wells is 8 engineers/team leader * 15 team leaders = <<8*15=120>>120 engineers.
Therefore, the number of project managers employed by Mr. Wells is 5 project managers/50 engineers * 120 engineers = <<5/50*120=12>>12 project managers. Answer: \boxed{12}.
In a flower garden, there are 3 tulips for every 8 daisies. If there are 15 tulips, how many daisies are there?
If there are 3 tulips for every 8 daisies, that means there are 8/3 daisies for every tulip.
So, if there are 15 tulips, then there are 15 * (8/3) = 40 daisies.
Therefore, there are 40 daisies in the flower garden. Answer: \boxed{40}.
A paper company produces 3,220 notebooks in 4 days. How many notebooks can it produce in 12 days?
To solve this problem, we can use the following proportion:
number of notebooks produced / number of days = constant rate
Let's call the constant rate "r". Then we have:
3,220 notebooks / 4 days = r
To find out how many notebooks can be produced in 12 days, we can set up the same proportion using this new number of days:
number of notebooks produced / 12 days = r
To solve for the number of notebooks, we can cross-multiply and solve for the unknown:
3,220 notebooks / 4 days = number of notebooks / 12 days
(3,220 notebooks / 4 days) x 12 days = number of notebooks
9,660 notebooks = number of notebooks
Therefore, the paper company can produce 9,660 notebooks in 12 days. Answer: \boxed{9,660}.
Rachel is training for a cycling tournament. She can bike 2 1/4 miles in 1/5 of an hour. At this rate, how many miles can she bike in 1 1/3 hours?
Rachel's rate is 2 1/4 miles in 1/5 hour. We can convert this to a rate per hour by multiplying both the numerator and denominator of the fraction by 5 (to get rid of the fraction in the denominator):
2 1/4 miles / 1/5 hour = 2 1/4 miles x 5/1 hour = 11 1/4 miles per hour
Therefore, Rachel can bike 11 1/4 miles in one hour.
To find out how far she can bike in 1 1/3 hours, we can multiply her rate per hour by the number of hours:
11 1/4 miles per hour x 4/3 hours = (45/4) x (4/3) miles = 15 miles
Therefore, Rachel can bike 15 miles in 1 1/3 hours. Answer: \boxed{15}.
David used 14 1/4 pounds of clay to make 3 pots. At this rate, how many pounds of clay would he need to make 10 pots?
To find out how much clay David needs for 10 pots, we can set up a proportion:
pounds of clay used / number of pots = constant rate
Let's call the constant rate "r". Then we have:
14 1/4 pounds / 3 pots = r
To find out how much clay is needed for 10 pots, we can set up the same proportion using this new number of pots:
pounds of clay used / 10 pots = r
To solve for the pounds of clay needed, we can cross-multiply and solve for the unknown:
14 1/4 pounds / 3 pots = pounds of clay / 10 pots
(14 1/4 pounds / 3 pots) x 10 pots = pounds of clay
47 1/2 pounds = pounds of clay
Therefore, David would need 47 1/2 pounds of clay to make 10 pots. Answer: \boxed{47 \frac{1}{2}}.