4. Basket A, composed of blue and green balls, has a total of 50 balls. Basket B, composed of orange and yellow balls, has a total of 120 balls. The ratio of blue to green balls in Basket A is 9:1, while the ratio of yellow to orange balls in Basket B is 5:7. Albert removed all the green balls from Basket A and all the yellow balls from Basket B to place in Basket C. What is the ratio of yellow to green balls in Basket C? A. 1:5 B. 1:10 C. 9:1 D. 10:1 E. 5:1
Answer (1)
Answer :D. 10:1Step-by-step Explanation :1.) Determine the number of green balls in Basket A :The ratio of blue to green balls in Basket A is 9:1. Let the number of blue balls be 9x and the number of green balls be x.The total number of balls in Basket A is 50 :[tex]9x + x = 50 \\ 10x \: = \: 50 \\ x = 5[/tex]So, the number of green balls is x=5.2. Determine the number of yellow balls in Basket B :The ratio of yellow to orange balls in Basket B is 5:7. Let the number of yellow balls be 5y and the number of orange balls be 7y.The total number of balls in Basket B is 120 :[tex]5y + 7y = 120 \\ 12y = 120 \\ y = 10[/tex]So, the number of yellow balls is 5y = 5(10) = 50.3.) Determine the ratio of yellow to green balls in Basket C :Basket C contains all the yellow balls from Basket B and all the green balls from Basket A. Therefore:• Number of yellow balls in Basket C = 50• Number of green balls in Basket C = 5The ratio of yellow to green balls is : [tex]ratio = \frac{50}{5} = 10 : 1[/tex]__________So, the correct answer is letter D. 10:1.
