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Scott is making red icing to decorate gingerbread men for his school's winter bake sale. After experimenting with small amounts of red dye and icing, he finds that $3$ drops of red dye mixed with $4$ tablespoons of icing looks best. How many drops of red dye should he use for $2$ cups of icing? $\newline$ Hint: There are $16$ tablespoons in $1$ cup. $\newline$ Write your answer as a whole number, decimal, or simplified fraction. Do not round. $\newline$ ____ drops

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Multi-step problems with unit conversions

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Q. Scott is making red icing to decorate gingerbread men for his school's winter bake sale. After experimenting with small amounts of red dye and icing, he finds that

3

drops of red dye mixed with

4

tablespoons of icing looks best. How many drops of red dye should he use for

2

cups of icing?

\newline

Hint: There are

16

tablespoons in

1

cup.

\newline

Write your answer as a whole number, decimal, or simplified fraction. Do not round.

\newline

____ drops

Ratio Determination: Determine the ratio of red dye to icing that Scott has found to be best. $\newline$ $3$ drops of red dye : $4$ tablespoons of icing
Convert Icing Amount: Convert the amount of icing Scott needs from cups to tablespoons, since the ratio is given in tablespoons. $\newline$ $1$ cup $= 16$ tablespoons $\newline$ $2$ cups $= 2 \times 16$ tablespoons $\newline$ $2$ cups $= 32$ tablespoons
Calculate Dye Drops: Use the ratio to calculate the number of drops of red dye needed for $32$ tablespoons of icing. $\newline$ If $3$ drops of red dye are needed for $4$ tablespoons of icing, then for $32$ tablespoons, we need to multiply the number of drops by $32/4$ . $\newline$ $(\(3\) \text{ drops} / \(4\) \text{ tablespoons}) \times \(32\) \text{ tablespoons} = (\(3\) \times \(32\)) / \(4\) \text{ drops}
Find Total Drops: Perform the multiplication and division to find the number of drops needed.\(\newline\)\((3 \times 32) / 4 = 96 / 4\)\(\newline\)\(96 / 4 = 24\) drops

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