Question

David has 3 1/2 cups of blueberries. He uses 1/4 of a cup of blueberries to make a breakfast smoothie. He uses 1/2 of the remaining blueberries to make blueberry pancakes. How many cups of blueberries does he use for the pancakes.

Answer 1

Answer:

$1\frac{5}{8}$ cup of blueberries

Step-by-step explanation:

Since David starts out with 3 1/2 cups of blueberries and uses 1/4 cup to make a smoothie, we will need to subtract 1/4 from his starting amount of 3 1/2

• $3\frac{1}{2}-\frac{1}{4} =3\frac{1}{4}$ David now has 3 1/4 cup of blueberries

David then uses half of this new amount of blueberries to make his pancakes. We will need to divide by 2 in order to figure out how much half is

• First we can turn 3 1/4 into an improper fraction to make it easier to work with → 3 1/4 = 13/4
• Now dividing 13/4 by 2 gives us $\frac{\frac{13}{4} }{2} =(\frac{13}{4})(\frac{1}{2}) = \frac{13}{8}$
• David used 13/8 cups of blueberries to make his pancakes
• Turning this back into a mixed number leaves him with 1 5/8 cup of blueberries