SOLUTION: 1 when the sum of 1/4 and 1/2 is divided by the product of 1/4 and 1/2 what is the quotient? 2 a pattern of pentagons and hexagons in a ratio of 3 to 5. If there are 12 penta

Algebra ->  Proportions  -> Lessons -> SOLUTION: 1 when the sum of 1/4 and 1/2 is divided by the product of 1/4 and 1/2 what is the quotient? 2 a pattern of pentagons and hexagons in a ratio of 3 to 5. If there are 12 penta      Log On


   

Question 25348: 1 when the sum of 1/4 and 1/2 is divided by the product of 1/4 and 1/2 what is the quotient?
2 a pattern of pentagons and hexagons in a ratio of 3 to 5. If there are 12 pentagons how many hexagons are in the pattern?
Answer by askmemath(368) About Me  (Show Source):
You can put this solution on YOUR website!
when the sum of 1/4 and 1/2
1%2F4+%2B+1%2F2
This can be done by making both the denominators equal(by taking the LCM ) and trhen adding the numerators
3%2F4
product of 1/4 and 1/2
1%2F4%2A1%2F2+=+1%2F8
Divided by
%283%2F4%29%2F%281%2F8%29
%283%2F4%29%2A+8
= 6
Let total number of pentagons and hexagons = X
Then 3%2F%283%2B5%29of X = 12
3%2F8+%2A+X+ = 12
Cross Multiplying
X = 32
If 12 pentagons are there then there are 32-12 = 20 hexagons