. 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. S

Question

. 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. Suppose that 5 drops of red tint can be mixed with 2 gallons of paint base to create the correct shade. How many drops of red tint must be mixed with 6 gallons of paint base to create the correct shade?

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Ngọc Khuê 5 years 2021-07-28T04:03:43+00:00 1 Answers 38 views 0

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  1. taiduc
    0
    2021-07-28T04:04:49+00:00
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    Answer:

    15 drops of red tint must be mixed with 6 gallons of paint base to create the correct shade

    Step-by-step 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.

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