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The movement of the progress bor may be uneven becouse questions con be worth more or less (including zero) depending on your onswer. Orly uses 2 cups of raisins for every 8 cups of trail mix she makes. How many cups of trail mix will she make if she uses 12 cups of raisins? 8 cups \( 1 \frac{1}{3} \) cups 48 cups Submit

Ask by Ray Summers. in the United States
Jan 25,2025

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Answer

Orly will make 48 cups of trail mix with 12 cups of raisins.

Solution

To determine how many cups of trail mix Orly can make with 12 cups of raisins, we can set up a proportion based on the given ratio: **Given Ratio:** - 2 cups of raisins : 8 cups of trail mix **Simplify the Ratio:** - \( \frac{2 \text{ cups raisins}}{8 \text{ cups trail mix}} = \frac{1 \text{ cup raisins}}{4 \text{ cups trail mix}} \) **Using the Simplified Ratio:** - If 1 cup of raisins makes 4 cups of trail mix, then 12 cups of raisins will make: \( 12 \text{ cups raisins} \times 4 \text{ cups trail mix per cup raisin} = 48 \text{ cups trail mix} \) **Answer:** **48 cups**

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Simplify this solution

Beyond the Answer

Orly's trail mix recipe is pretty straightforward! If she uses 2 cups of raisins for every 8 cups of trail mix, that means the ratio of raisins to trail mix is 1:4. So if she’s using 12 cups of raisins, we can set up a little proportion. For 2 cups of raisins, she makes 8 cups of trail mix, and for 12 cups of raisins, she makes 8 times more! A simple calculation tells us she’ll whip up a whopping 48 cups of trail mix! A common pitfall when dealing with ratios is to forget to keep the relationship constant. Always remember to maintain the same ratio when adjusting the quantities. If you find yourself confused, just set up a basic equation or use a ratio chart to keep track—math is all about balance, after all!

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