To determine how many 1/2-cup scoops Jamal will need, we first convert the measurements for sugar and flour into halves so we can count the scoops.
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For sugar:
- The recipe calls for 1 1/2 cups of sugar.
- Converting this to halves: \[ 1 \frac{1}{2} = \frac{3}{2} \text{ cups} \]
- To find out how many 1/2-cup scoops are in 1 1/2 cups: \[ \frac{3/2 \text{ cups}}{1/2 \text{ cup per scoop}} = 3 \text{ scoops} \]
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For flour:
- The recipe calls for 2 3/4 cups of flour.
- Converting this to halves: \[ 2 \frac{3}{4} = \frac{11}{4} \text{ cups} \]
- To find out how many 1/2-cup scoops are in 2 3/4 cups: \[ \frac{11/4 \text{ cups}}{1/2 \text{ cup per scoop}} = \frac{11}{4} \times \frac{2}{1} = \frac{22}{4} = 5.5 \text{ scoops} \]
Now, we can summarize the total number of scoops:
- Sugar: 3 scoops
- Flour: 5.5 scoops
Combining these: \[ 3 + 5.5 = 8.5 \text{ scoops} \]
To be practical in the kitchen, Jamal will need to use 9 scoops for the total amount of sugar and flour, rounding up to accommodate for the half scoop of flour.
Final Answer: 9 scoops
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