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 the
following quantities maintains the ratio ross wants?
a.
12 scoops of red sand for every 9 scoops of blue sand
b.
10 scoops of red sand for every 8 scoops of blue sand
c. 8 scoops of red sand for every 12 scoops of blue sand
d.
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.

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.