Aclown has 54 purple balloons and 36 orange balloons. the clown arranges the balloons into groups that have the same ratio of purple balloons to orange balloons as the whole collection of balloons. how many purple balloons are in a group that has 8 orange

Jack has a piece of red ribbon that is two times as long as his piece of blue ribbon. he says that he can use two different equation to find out how long his piece of red ribbon is compared to his piece of blue ribbon is. is he correct? explain his reasoning

How to do this , and can some one explain

Solve the equation below: (x+4)/6x=1/x a. x=2 b. x=0,2 c. x=-2 d. x=0,-2