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Question
a certain shade of pink paint is made of 4 quarts of red paint for every 3 quarts of white paint. if you only have 1 quart of red paint, how much white paint should you use to make the same shade of pink paint? youre trying to find the amount of white paint you would need for every 1 quart of red paint. what do you need to divide 4 quarts of red paint by to find 1 quart of red paint? red paint (qt) white paint (qt) 4 3 1 ?
Step1: Set up proportion
The ratio of red paint to white paint is 4:3. Let $x$ be the amount of white paint for 1 quart of red paint. So we have the proportion $\frac{4}{3}=\frac{1}{x}$.
Step2: Cross - multiply
Cross - multiplying gives us $4x = 3\times1$.
Step3: Solve for $x$
Dividing both sides of the equation $4x=3$ by 4, we get $x=\frac{3}{4}$.
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$\frac{3}{4}$ quart