Proportions Worksheet with Fractions and Mixed Numbers 1) Homer is able to eat $$ 12 y $$ doughnuts in $$ 31 / 2 $$ hours. How many doughnuts could he eat if he ate at the same rate for 9 hours?

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The number of doughnuts Homer could eat in 9 hours is $$ \frac{216y}{31} $$. To solve this problem, we can set up a proportion to find the number of doughnuts Homer could eat in 9 hours. Let's denote the number of doughnuts Homer could eat in 9 hours as $$ x $$. We can set up the proportion as follows: $$ \frac{12y}{\frac{31}{2}} = \frac{x}{9} $$ Now, we can solve for $$ x $$ by cross-multiplying and then dividing by 9. Solve the equation by following steps: - step0: Solve for $$x$$: $$\frac{12y}{\frac{31}{2}}=\frac{x}{9}$$ - step1: Divide the terms: $$\frac{24y}{31}=\frac{x}{9}$$ - step2: Swap the sides: $$\frac{x}{9}=\frac{24y}{31}$$ - step3: Multiply both sides of the equation by $$9:$$ $$\frac{x}{9}\times 9=\frac{24y}{31}\times 9$$ - step4: Multiply the terms: $$x=\frac{24y\times 9}{31}$$ - step5: Evaluate: $$x=\frac{216y}{31}$$ The number of doughnuts Homer could eat in 9 hours is $$ \frac{216y}{31} $$.

Proportions Worksheet with Fractions and Mixed Numbers 1) Homer is able to eat \( 12 y \) doughnuts in \( 31 / 2 \) hours. How many doughnuts could he eat if he ate at the same rate for 9 hours?

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Proportions Worksheet with Fractions and Mixed Numbers 1) Homer is able to eat \( 12 y \) doughnuts in \( 31 / 2 \) hours. How many doughnuts could he eat if he ate at the same rate for 9 hours?

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