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If I used $3$ cups of water for $\frac{3}{4}$ cups of sugar how much water would I use if I used $1$ cup of sugar

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Multiply decimals and whole numbers: word problems

Full solution

Q. If I used

3

cups of water for

\frac{3}{4}

cups of sugar how much water would I use if I used

1

cup of sugar

Identify Ratio: question_prompt: How much water is needed for $1$ cup of sugar if $3$ cups of water are used for $\frac{3}{4}$ cups of sugar?
Calculate Water for $1$ Cup: First, find the ratio of water to sugar used in the original recipe. That's $3$ cups of water for every $\frac{3}{4}$ cups of sugar.
Simplify Calculation: Now, calculate how much water is used for $1$ cup of sugar. To do this, divide the amount of water by the amount of sugar in the original recipe and then multiply by $1$ cup. So, $(3$ cups water $/$ $(3/4)$ cups sugar\) $*$ $1$ cup sugar.
Simplify Calculation: Now, calculate how much water is used for $1$ cup of sugar. To do this, divide the amount of water by the amount of sugar in the original recipe and then multiply by $1$ cup. So, $(3$ cups water $/$ $(3/4)$ cups sugar) $*$ $1$ cup sugar. Simplify the calculation: $(3 / (3/4)) * 1 = (3 * (4/3)) * 1 = 4 * 1 = 4$ cups of water.

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