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. How many batches can Alana make if she uses all the flour? How much does the flour for one batch cost?

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

step-by-step explanation:

graph using a few selected

x         y

-1       15

0         6

1         2.4

2       0.96