Answer:

a) How many batches can Alana make if she uses all the flour?

61 batches

b) How much does the flour for one batch cost?

$0.074

Step-by-step explanation:

Alana uses 1 1/4 cups of flour for each batch of blueberry muffins she makes. She has a 5- pound bag of flour that cost $4.49 and contains seventy-six 1/4 cup servings.

a) How many batches can Alana make if she uses all the flour?

All the flour = 76 1/4 cups of flour

Hence

1 1/4 cups = 1 batch of blueberry muffins

Ins

76 1/4 cups = x

1 1/4 × x = 76 1/4 × 1

x = 76 1/4 × 1/1 1/4

x = 76 1/4 ÷ 1 1/4

x = 305/4 ÷ 5/4

x = 305/4 × 4/5

x = 61 batches of blue berry muffins.

Hence, all the flour (76 1/4 cups of flour) = 61 batches of blue berry muffins

b) How much does the flour for one batch cost?

From the question:

She has a 5- pound bag of flour that cost $4.49 and contains seventy-six 1/4 cup servings.

Flour for 1 batch = 1 1/4

Hence:

76 1/4 cups = $4.49

1 1/4 cups = x

76 1/4 x = 1 1/4 × $4.49

x = (1 1/4 × $4.49 ) ÷ 76 1/4

x = 5/4 × 4.49 ÷ 305/4

x = 5/4 × 4.49 × 4/305

x = $0.0736065574

Approximately = $0.074

Hence, flour for 1 batch cost = $0.074