Ross is making colored sand for an art project. He mixes 3 scoops of red sand for every 2 scoops of blue sand. Which of thefollowing quantities maintains the ratio Ross wants?A.12 scoops of red sand for every 9 scoops of blue sandB.10 scoops of red sand for every 8 scoops of blue sandC. 8 scoops of red sand for every 12 scoops of blue sandD.9 scoops of red sand for every 6 scoops of blue sand​

Option D ANSWER:  9 scoops of red sand for every 6 scoops of blue sand maintains the ratio Ross wants. SOLUTION: Given, Ross is making colored sand for an art project.  He mixes 3 scoops of red sand for every 2 scoops of blue sand. First, let us calculate the ratio of given information. ratio of red sand to blue sand = 3 : 2 Now, let us check the options. A. 12 scoops of red sand for every 9 scoops of blue sand Here, ratio of red sand to blue sand = 12 : 9 = 4 : 3 This ratio does not matches with our ratio. So this is not correct option. B. 10 scoops of red sand for every 8 scoops of blue sand  Here, ratio of red sand to blue sand = 10 : 8 = 5 : 4 This ratio does not matches with our ratio. So this is not correct option C. 8 scoops of red sand for every 12 scoops of blue sand  Here, ratio of red sand to blue sand = 8 : 12 = 2 : 3 This ratio does not matches with our ratio. So this is not correct option D. 9 scoops of red sand for every 6 scoops of blue sand Here, ratio of red sand to blue sand = 9 : 6 = 3 : 2 This ratio matches with our ratio. So this is correct option. Hence, correct option is D.