Question

A 4-pound bag of sugar contains 454 one-teaspoon servings and costs $3.49. A batch of muffins uses 1 2 cup of sugar. How many whole batches can you make if you use as much of the sugar as possible? What is the cost of sugar for each batch? (1 cup = 48 teaspoons; do not consider leftover sugar in the cost calculation.)

Answer 1

a) 19 batches

b) $0.18

Explanation:

A 4-pound bag of sugar contains 4 54 one-teaspoon servings and costs $3.49. A batch of muffins uses 1/2 cup of sugar.

1 cup = 48 teaspoons

a) How many whole batches can you make if you use as much of the sugar as possible?

1 batch = 1/2 cups of sugar = 24 teaspoons of sugar

Hence,

24 teaspoons of sugar = 1 batch

454 one-teaspoon servings = x

Cross Multiply

24 × x = 1 × 454

x = 454/24

x = 18.9166666667

Approximately to whole batches = 19 batches

b) What is the cost of sugar for each batch?

454 one-teaspoon servings and costs $3.49 = 19 batches

Hence

19 batches = $3.49

1 batch = x

x= $3.49/19

x = $0.18368421052

Approximately = $0.18