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isabell is mixing red paint with blue paint to make purple paint.she adds 3/10 of a fluid ounce of red to 11/15 of a fluid ounce of blue to make 1 1/30 fluid ounces of blue to make 1 1/30 of purple.how many fluid ounces of red will she need to make 3 fluid ounces of purple paint

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wegnerkolmp2741o

Answer:

We will need 27/31 of an ounce of red

Step-by-step explanation:

3 /10 red + 11 /15 blue  makes 1 1/30 purple

Get a common denominator of 30

3/10 * 3/3 = 9/30  red

11/15 *2/2 = 22/ 30  blue

1  1/30 = 31/30   purple


So the ratio of red to purple is

9/30

--------  =   9/ 31

31/30


Keeping this ratio, we want 3 ounces purple

9 red                      x red

--------           =  --------------

31 purple             3   purple


Using cross products,

9*3 = 31 *x

27 = 31x

Divide each side by 31

27/31 = x

We will need 27/31 of an ounce of red


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