Answer:
15 drops of red tint must be mixed with 6 gallons of paint base to create the correct shade
Explanation:
The number of drops of red tint needed to make a certain shade of purple paint varies directly with the number of gallons of paint base.
This is expressed Mathematically as:
= R ∝ P
Where R = Red paint
P = Paint base
R = kP
Suppose that 5 drops of red tint can be mixed with 2 gallons of paint base to create the correct shade.
Hence
5 = 2k
k = 5/2
How many drops of red tint must be mixed with 6 gallons of paint base to create the correct shade?
This is calculated as:
R = kP
Where k = 5/2
Hence:
R = 5/2 × 6
R = 15 drops of red tint
Hence, 15 drops of red tint must be mixed with 6 gallons of paint base to create the correct shade.