Julia has a bag containing p blue marbles and q red marbles. the ratio of blue to red is 2: 3. she adds r blue marbles. the ratio of blue to red marbles is now 2: 1 . what is the ratio between p and r?

Abox contains 1 plain pencil and 4 pens. a second box contains 5 color pencils and 5 crayons. one item from each box is chosen at random. what is the probability that a plain pencil from the first box and a color pencil from the second box are selected? write your answer as a fraction in simplest form.

Solve the given system of equations. 2y= -x+9 , 3x-6= -15

Jose is going to use a random number generator 500500 times. each time he uses it, he will get a 1, 2, 3,1,2,3, or 44.