MATH SOLVE

5 months ago

Q:
# 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

Accepted Solution

A:

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.