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spiral review
for exercises 1-6, solve each problem.
- kendall is making bread. her recipe calls for 3 cups of flour and \\(\frac{3}{4}\\) cup of sugar. if she increases the flour to 4 cups, how much sugar will she need?
Step1: Set up proportion
Let \( x \) be the new amount of sugar. The ratio of flour to sugar should remain constant. So, \(\frac{3}{\frac{3}{4}}=\frac{4}{x}\)
Step2: Solve the proportion
First, simplify \(\frac{3}{\frac{3}{4}}\). Dividing by a fraction is multiplying by its reciprocal, so \( 3\times\frac{4}{3} = 4 \). Now our equation is \( 4=\frac{4}{x} \). Cross - multiply: \( 4x = 4 \). Divide both sides by 4: \( x = 1 \)
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1 cup