Question

Jamal is baking sugar cookies. The recipe calls for 1 1/2 cups of sugar and 2 3/4 cups of flour. Jamal only has a 12 -cup measuring scoop. How many scoops will he have to use for the sugar and flour?(1 point) Responses 4 1/4 scoops of sugar and flour 4 Start Fraction 1 over 4 End Fraction scoops of sugar and flour 16 1/2 scoops of sugar and flour 16 Start Fraction 1 over 2 End Fraction scoops of sugar and flour 8 1/2 scoops of sugar and flour 8 Start Fraction 1 over 2 End Fraction scoops of sugar and flour 2 1/8 scoops of sugar and flour/

Answer 1

To determine how many scoops Jamal will have to use for the sugar and flour combined, we first need to convert the measurements into improper fractions and then add them together.

1. Convert sugar measurement:
   $$1\frac{1}{2}=\frac{3}{2}\text{ cups of sugar}$$

2. Convert flour measurement:
   $$2\frac{3}{4}=\frac{11}{4}\text{ cups of flour}$$

3. Add the two quantities together:
   To add $\frac{3}{2}$ and $\frac{11}{4}$, we need a common denominator. The least common denominator (LCD) of 2 and 4 is 4.

   Convert $\frac{3}{2}$ to have a denominator of 4:
   $$\frac{3}{2}=\frac{3\times 2}{2\times 2}=\frac{6}{4}$$

   Now add $\frac{6}{4}$ and $\frac{11}{4}$:
   $$\frac{6}{4}+\frac{11}{4}=\frac{6+11}{4}=\frac{17}{4}$$

4. Convert $\frac{17}{4}$ to a mixed number:
   $$\frac{17}{4}=4\frac{1}{4}\text{ cups total}$$

5. Calculate the number of 1/2 cup scoops needed:
   Since Jamal has a 1/2 cup measuring scoop, we need to divide the total cups by 0.5:
   $$4\frac{1}{4}\text{ cups}=4.25\text{ cups}$$
   To find the number of scoops: $$4.25÷0.5=4.25\times 2=8.5\text{ scoops}$$

Thus, Jamal will need 8 1/2 scoops of sugar and flour.

So the correct response is: 8 1/2 scoops of sugar and flour.