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.
-
Convert sugar measurement:
\[ 1 \frac{1}{2} = \frac{3}{2} \text{ cups of sugar} \] -
Convert flour measurement:
\[ 2 \frac{3}{4} = \frac{11}{4} \text{ cups of flour} \] -
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 \(\frac{11}{4}\):
\[ \frac{6}{4} + \frac{11}{4} = \frac{6 + 11}{4} = \frac{17}{4} \] -
Convert \(\frac{17}{4}\) to a mixed number:
\[ \frac{17}{4} = 4 \frac{1}{4} \text{ cups total} \] -
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: \[ 4.25 \div 0.5 = 4.25 \times 2 = 8.5 \text{ scoops} \]
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.
1 answer