Question

The ratio of the number of cups of blue paint to the number of cups of red paint that Lara mixed to make a shade of purple paint is 3:1
Part A: Write a sentence to describe the number of cups of blue paint that Lara mixed with each cup of red paint. (4 points)

Part B: How many cups of red paint should Lara add to each cup of blue paint to make the shade of purple? Explain your reasoning. (

Part C: If Lara purchased 6 cups of blue paint for $48, what is the unit price per cup of blue paint? (2 points)

Answer 1

Answer:

a

Generally given that the number of cups of blue to that of red paint is 3: 1 then the Lara mixed 3 cups of blue paint with 1 cup of red paint

b

The number is  $x= \frac{1}{3}$

c

The price is $P = \ 8$

Step-by-step explanation:

From the question we are told that

   The ratio of  the number of cups of blue paint to the number of cups of red paint is  $r = 3: 1$

Generally given that the number of cups of blue to that of red paint is 3: 1 then the Lara mixed 3 cups of blue paint with 1 cup of red paint

Given that  1 cup of  red paint  =>   3 cups of blue paint

                 x cup of  red paint  =>  1  cup of  blue paint

So

         $x= \frac{1 * 1}{3}$

=>      $x= \frac{1}{3}$

Generally the unit price of a cup of blue paint is mathematically represented as

     $P = \frac{48}{6}$

=>  $P = \ 8$